Given the cost function C(x) and the revenue function R(x), find the number of units x that must be sold to break even. C(x) = 1.2x + 5400 and R(x) = 1.5x. ... How many units must be produced and sold in order to break even? units
Q: Lisa makes two sorts of jewelry- Type A and Type B. Type A requires 90 minutes of curving and 1hours…
A: Decision variables: Suppose,X = No. of Type A jewelryY = No. of Type B jewelry
Q: Frandec Company manufactures, assembles, and rebuilds material-handling equipment used in warehouses…
A: Given data is Component Manufacturing cost($) Purchase cost($) Frame 37 50 Support 10.50 14…
Q: After entering the data shown below in cells B2, B3, B6, and B10, what values should appear in the…
A: Below is the solution:-
Q: A firm requires 96 units of good Q. The firm can only hire one worker to produce these 96 units.…
A: Solution is as follows
Q: A specialized machine essential for a company's operations costs $5,000 and has operating costs of…
A: Calculations:
Q: profit function for a skateboard manufacturer is given by P X is equals to 30 x minus 3 x square -…
A: The detailed solution is given in Step 2.
Q: CWD Electronics sells Televisions (TV), which it orders from the USA. Because of shipping and…
A: Given, Lead time (weeks) Probability Demand/week Probability 1 0.45 1 0.15 2…
Q: Aventura Savings and Loan requires 15% down payment on a mortgage loan. What is the down payment…
A: Down payment is the amount derived from the purchase price of a property. It is calculated by the…
Q: Assume a fixed cost of $900, a variable cost of $4.75, and a selling price of $6.00. a. What is the…
A: Break-even point=Fixed costRevenue-Variable cost=9006-4.75=9001.25=720 units Hence, the break-even…
Q: An analyst is constructing a simple model to determine the gross and net profit of a product, given…
A: Gross Profit =Profit per unit times quantity = 2×19400 =…
Q: You operate a small wooden toy company making two products: alphabet blocks and wooden trucks. Your…
A: As presumed, Taking 'B' as the number of blocks and 'T' as number of trucks. Given - Profit = For…
Q: Frandec Company manufactures, assembles, and rebuilds material-handling equipment used in warehouses…
A: Given data is Component Manufacturing cost($) Purchase cost($) Frame 37 50 Support 10.50 14…
Q: If management decides that the number of units of Product 8 manufactured must equal or exceed the…
A:
Q: If a case of 15 dozen eggs costs $20.45, how much does 1 dozen cost? ___________ How much does 1…
A: Hello thank you for the question. According to the guidelines, we are supposed to provide each…
Q: A firm has revenue function given by R=10Q where R=Gross Revenue and Q=Number of Units Sold,…
A: Profit = Revenue - Cost R =10 QC = 20000+ 50(Q/800)^2Profit (P) = 10 Q – 20000 – 50(Q/800)^2…
Q: A publisher prints copies of a popular weekly tabloid for distribution and sale. The fixed costs are…
A: Cost function indicating the sum value of the cost. Here, we develop the cost function by…
Q: A company uses the production run model to determine the number of t-shirts that must be produced…
A: Given that the optimal production quantity per production run=5000 units, To determine the total…
Q: Now suppose that in an effort to incentivize investment in India, the Indian government decides to…
A: Isoquant Curves: An isoquant curve is a concave-shaped line on a graph, used in the study of…
Q: Set up the system fequations and then solve it by using an inverse matrix. One safe investment pays…
A: Given, Investment =$1,47,200 and income = $20,000 per year. Let us assume that, X= Amount invested…
Q: Tyrelle's T-shirts purchases shirts for $4. If a markup of $5 per shirt is applied, the selling…
A: Markup refers to the difference between selling price and cost price of the product. However,…
Q: A manufacturing company produced 90000 units that sold for OMR 360000. The total variable costs for…
A: Units Produced = 90000 Revenue from sales = 360000 Per unit selling cost = 360000/90000 = 4 Total…
Q: A company manufactures a component which sells for £33. The variable cost associated with its…
A: Here, There are two different questions, As per the guideline, I'm supposed to answer the first…
Q: Lisa makes two sorts of jewelry- Type A and Type B. Type A requires 90 minutes of curving and 1hours…
A: Decision Variable- Let X be the no. of Type A jewelry Let Y be the no. of Type B jewelry
Q: in process costing, converting production to equivalent units results in: A. A more precise…
A: Process costing refers to the costs of different process used in the production of a product since…
Q: A manufacturer of two products (Widgets and Gadgets) makes a profit of $140 for each widget sold and…
A:
Q: 20. Cost Equation An advertiser goes to a printer and is charged $89 for 100 copies of one flyer and…
A: If cost C is a linear function of the number of copies, x, then we write,…
Q: The point at which a company's profits equal zero is called the company's break-even point. Let R…
A: At Breakeven: R(x) = C(x) ⇒50x= 32.5x+52500 ⇒50x-32.5x = 52500 ⇒ 17.5x = 52500 ⇒ x = 3000
Q: A manufacturer of two products (Widgets and Gadgets) makes a profit of $180 for each widget sold and…
A: Small Introduction about Capacity Capacity is the greatest amount of production that a…
Q: A chocolate maker has annual demand of 250,000 pounds per year. It costs $1.25 to store a pound of…
A: Economic lot size = Where, D Demand H Holding Cost S Ordering cost
Q: The production rate is 2000 units per year. The demand is 200 units. The setup cost is $4000. The…
A: Economic order quantity (EOQ) is the optimal quantity that a company should buy to lower the costs…
Q: An item with a holding cost of $400 per year can be shipped by air in 1 day, costing $250, or by…
A: The above solution is based on the shipment alternatives. The solution is given below;
Q: Soup4U is a restaurant that sells soup. Soup4U makes production decisions using the news vendor…
A: A news vendor model is one of the core concepts in the supply chain and inventory management. Given,…
Q: You manage a production line that operates using a monthly production cycle. There are five…
A: Line capacity = 500 hrs. Product 1 Product 2 Product 3 Product 4 Product 5 Monthly Demand…
Q: A company that manufactures air-operated drain valve assemblies currently has $110,000 available to…
A: given values, Rate = 10% (NPMT) no of periods =5 FV = 0
Q: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand…
A: Contribution Margin per unit = Sales price per unit - Variable cost per unit = $0.5 - $0.2 = $0.3…
Q: Assume that the linear cost and revenue models apply. An item costs $4 to make. If fixed costs are…
A: Here, we have the following data, Cost per item =4, The fixed costs irrespective of the number of…
Q: A company can produce 100 home computers per day.The setup cost for a production run is $1,000. The…
A: Given, Production/Order Cost, C= $1000 Holding Cost, H= $300 Demand, D= 2000 * 12 = 24000 per year…
Q: R(h,s)=200h0,5s0,5, where h is hours of labour and s is tons of steel. Your total budget is €37950,…
A: What is Revenue? Revenue is the value of all sales of goods and services recognized by a company in…
Q: Machine A costs Rs 45,000 and its operating costs are estimated to be Rs 1,000 for the first year…
A: In order to determine the optimal time n when machine A should be replaced, we first calculate the…
Q: A company handles an apartment building with 50 units. Experience has shown that if the rent for…
A: Given data Apartment building has 50 units Each unit rent =$640 per month 1 vacant for $20 increase…
Q: Reports from industry experts suggest that NetWorks’ cost structure is similar to GearNet’s cost…
A: ANSWER IS AS BELOW:
Q: It costs a company c(x) dollars to produce x units. Thecurve y c (x) is called the firm’s marginal…
A: Supposing c(x) exist for all x we must have that since x* minimizes z(x)=c(x)/x then Z(x*) =…
Q: For the basic age replacement model, consider a piece of equipment that costs$18,000 to replace. The…
A: The goal is to find the optimal value of 't' that minimizes Gt→ The total maintainence cost per…
Q: Consider a three-units system presented by the cost function as: C1 = 0.03 P12 + 8.2P1 + 452 C2 =…
A: Given cost function, C1 = 0.03 P12 + 8.2P1 + 452C2 = 0.025 P22 + 8.3P2+ 500C3 = 0.0035 P32 + 7.44P3…
Q: Barbara Flynn sells papers at a newspaper stand for $0.40. The papers cost her $0.30, giving her a…
A:
Q: How many units must be sold to make a profit of $500.00?
A: Given details : Fixed cost = $900 Variable cost = $ 4.50 Selling price = $ 5.50 profit to make = $…
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
- Oxicon Inc. manufactures several different types of candy for various retail stores. The accountingmanager has requested that you determine the sales dollars required to break even for next quarter based on past financial data. Your research tells you that the total variable costs will be $500,000,total sales will be $750,000, and fixed costs will be $75,000. What is the breakeven point in salesdollars?A person sells and installs A, B and C. The table shows, for example, that it takes 3 hours to sell a unit of B, it takes 4 hours to install it, and net profit per unit is $ 40. Product No. of Units Selling Hours per Unit Installation Hours per Unit Profit per Unit A x 1 1 $10 B y 3 4 40 C z 2 1 10 During a 38-hour week, the person allots no more than 18 hours to selling and no more than 20 hours to installation. Find the combination of number of units of A, B, C that would yield maximum profit.AutoTime, a manufacturer of electronic digital timers, has a monthly fixed cost of $50,000 and a production cost of $7 for each timer manufactured. The timers sell for $15 each. (a) What is the cost function C(x)?C(x) = (b) What is the revenue function R(x)?R(x) = (c) What is the profit function P(x)?P(x) = (d) Compute the profit (loss) corresponding to production levels of 3000, 6000, and 11,000 timers, respectively. (Input a negative value to indicate a loss.) 3000 timers $ 6000 timers $ 11,000 timers $
- ABC Co. produces a product in the United Kingdom at a cost of £0.55 per unit which it then sells in France for €1.25 per unit. If in the currency markets, 1 U.S. dollar = £0.6373 and 1 U.S. dollar = €1.0279, how much profit is realized by ABC Co. on each unit of product sold? A. $0.7857 B. $0.3531 C. $0.2571 D. $0.1095A company has determined that its profit for a product can be described by a linear function.The profit from the production and sale of 150 units is $455, and the profit from250 units is $895.(b) You are the CEO for a lightweight compasses manufacturer. The demandfunction for the lightweight compasses is given by p = 40 − 4q2where qis the number of lightweight compasses produced in millions.It costs the company $15to make a lightweight compass.(i) Write an equation giving profit as a function of the number of lightweight compassesproduced.(ii) At the moment the company produces 2 million lightweight compasses and makes a profitof $18,000,000, but you would like to reduce production. What smaller number oflightweight compasses could the company produce to yield the same profit?A local finance company quotes a 16 percent interest rate onone-year loans. So, if you borrow $26,000, the interest for the year will be $4,160. Because you must repay a total of $30,160 in one year, the finance company requiresyou to pay $30,160y12, or $2,513.33, per month over the next 12 months. Is this a15 percent loan? What rate would legally have to be quoted? What is the effectiveannual rate?
- I need help with everything, please. hint: you will need to define one variable for total funds needed; one variable for each for 2 securities. and five variables for investment in savings at the beginning of each year. The 6th year will be 1.04 times the 5th-year saving variable. Formulate the problem and submit the formulation - no need to solve 1. As part of the settlement for a class action lawsuit, Hoxworth Corporation must provide sufficient cash to make the following annual payments (in thousands of dollars): Year Payment 1 190 2 215 3 240 4 285 5 315 6 460 The annual payments must be made at the beginning of each year. The judge will approve an amount that, along with earnings on its investment, will cover the annual payments. Investment of the funds will be limited to savings (at 4% annually) and government securities, at prices and rates currently quoted in The Wall Street…You operate a small wooden toy company making two products: alphabet blocks and wooden trucks. Your profit is $30 per box of blocks and $40 per box of trucks. Producing a box of blocks requires one hour of woodworking and two hours of painting; producing a box of trucks takes three hours of woodworking, but only one hour of painting. You employ three woodworkers and two pointers, each working 40 hours a week. How many boxes of block (B) and trucks (T) should you make each week to maximize profit? Solve graphically as a linear program and confirm analytically.4. A publisher prints copies of a popular weekly tabloid for distribution and sale. The fixed costs are $500 per print run, with each copy printed costing an additional $0.40. If C(q) is the cost function (in $) of the price of the print run as a function of copies printed, what is the formula for C(q)? Select one: a. C(q) = 500 + 0.4q b. C(q) = 500q + 0.4 c. C(q) = (500 + 0.4)q d. C(q) = 500 - 0.4q e. C(q) = 500q - 0.4 5. A hot dog vendor sells an average of 50 hot dogs during a Little League baseball game. If the sales are Normally distributed with a standard deviation of 7 hot dogs, what is the probability the vendor will sell between 45 and 65 hot dogs? Select one: a. 74.50% b. 92.36% c. 99.78% d. 174.50% e. 2.14 f. -0.71 g. 0.71
- PLEASE USE SIMPLEX METHOD. Thank you! Suppose a company manufactures different electronic components for computers. Component A requires 2 hours of fabrication and an hour of assembly. Component B requires 3 hours of fabrication and an hour of assembly, and component C requires 2 hours of fabrication and 2 hours of assembly. The company has upto 1,000 labor-hours for fabrication, 800 labor-hours of assembly time each work. If the profit on each component A, B, and C is $7, $8, and $10 respectively, how many of each should be produced to maximize profit?A company manufactures two products. If it chargesprice pi for product i, it can sell qi units of product i,where q1 = 60 - 3p1 + p2 and q2 = 80 - 2p2 + p1. Itcosts $5 to produce a unit of product 1 and $12 to produce a unit of product 2. How many units of eachproduct should the company produce, and what pricesshould it charge, to maximize its profit? Use spreadsheet modelling in ExcelA company manufactures two products. If it charges price pi for product i, it can sell qi units of product i,where q1 = 60−3p1 +p2 and q2 = 80−2p2 +p1. It costs $5 to produce a unit of product 1 and $12 to produce a unit of product 2. How many units of each product should the company produce, and what prices should it charge, to maximize its profit?