Suppose a company finds that its revenue can be modeled by R(q)= 800q and that its cost is modeled by C(q) = 10q+ 400q. Given these functions what quantity will maximize this company's profit? Select one: O 25 O 20 O 10 O 15

Q: For a certain company, the cost function for producing x items is C(x)=40x+100 and the revenue…

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Q: Suppose that the total cost of producing q widgets is given by C(q) = 0.02q + 50g + 1000. Also,…

A: Given that, Total cost C(q) = 0.02q2 + 50q + 1000 Price of a widget p = 100 - 0.005q  a) Total…

Q: A coffee shop finds that at the price of $3.00, demand for their popular cappuccino drink is 3000…

A: Given that: At price of $3.00, demand = 3000 cups a year.For every $0.25 decrease in price, demand…

Q: suppose the daily cost C of manufacturing x bicyklces is given C(x) =80x_+4800 now the average daily…

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Q: The Builders Company can produce up to 200 tiles per week. If the weekly cost function is…

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Q: If the total revenue function for a hammer is R = 36x-0.001x^2, then sales of how many hammers, x,…

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Q: The manufacturer of a CD player has found that the revenue R (in dollar) is R(p)=-5p^2+1,090p, when…

A: The revenue function is R(p)=-5p2+1090p where unit price is p dollars. Differentiate with respect to…

Q: A 440-unit hotel is trying to determine their daily rates. From experience, the hotel manager knows…

A: Let x = number of dollar increase in rent per day. Total room rented = (440 – x) rooms Rent per day…

Q: A calculator company found that the cost of producing x graphing calculators per day is C(x) = 4x +…

A: a) Revenue = price x quantity sold R(x) = 80 x

Q: Suppose that the selling price p of an item for the quantity x sold is given by the function 1 x +…

A: Given  Demand equation of x  p = -x8+26    ......... (1) Revenue function  R(x) R= p.x Putting the…

Q: Suppose that r(x) = 9x and c(x) = x3 - 6x2 + 15x are the revenue and the cost functions, given in…

A: Consider the given revenue function R and cost function C: Here the objective is to find the…

Q: Find the average cost function if cost and revenue are given by C(x)= 186 + 7.3x and R(X)= 7x-0.08x

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Q: Suppose a revenue function is given by: R(q) = – q° + 168q where is thousands of units and R(q) is…

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Q: Suppose that the selling price p of an item for the quantity x sold is given by the function 1 -x +…

A: Topic:- algebra

Q: Assuming that the company sells all that it produces, what is the profit function? P(x)=   . Hint:…

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Q: A firm’s short-run production function is given by Q = 30L2− 0.5L3 Find the value of L which…

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Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A: Given cost function C and revenue function R is

Q: If the coffee's demand function is q = 192 - p2, at what price where the revenue is maximized and…

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Q: A firm can produce 400 units per week. If its total cost function is C = 300 + 1400x dollars and its…

A: Given Data: The number of units produced per week is: n=400 units per week The total cost function…

Q: A one-product firm estimates that its daily total cost function (in suitable units) is C(x) = x3 -…

A: Given that, Cost function = C(x) = x3-6x2+13x+15 Revenue function = R(x) = 28x Then the profit…

Q: If the marginal costs for the production of æ power drills can be modeled by the function C'(x) =…

A: Answer: The solution is given below:

Q: a sugar can processing company was investigating whether it should raise their prices to increase…

A: Given that the demand function is px =10.8 - 0.24 x  .................(1) Let r(x) be the revenue…

Q: - The demand for your item is given by the following function 2 - 8z (z-8)(z² + 3) Find what number…

A: The given demand function Dx=-x2-8xx-8x2+3+100, so, x≥0. To find the number of products to be sold…

Q: Suppose that the price per unit in dollars of a cell phone production is modeled by p=45-0.0125x…

A: Given that the price of each cellphone is= p= 45-0.0125x, x is in thousands.…

Q: Suppose that the selling price pp of an item for the quantity xx sold is given by the function…

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Q: Teddy J is a manufacturer of dish washing liquid. If his monthly demand function for 750ml size is…

A: Consider the provided question, Given, q=4000-250pand, Cq=500+0.2qSince,…

Q: Suppose that the selling price p of an item for the quantity x sold is given by the function 1 x +…

A: Given,  p=-16x+26

Q: For a certain company, the cost function for producing x items is C(x)=30x+200 and the revenue…

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not…

Q: For a certain company, the cost function for producing x items is C(x)=30x+200 and the revenue…

A: given that cost function for producing x items…

Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…

A: We have to choose correct option for given questions.

Q: A shop sells pies for $5 each. The daily cost function has the form C(x)=x+10+0.01x2, where x is the…

A: Revenue function, R(x) = price x Quantity = 5x Cost function, C(x) = x + 10 + 0.01x2 Profit function…

Q: A firm sales product for $80 per unit. Raw material costs are $12.50 per unit, labor costs are…

A: Use the following formulae, to obtain the solution.  Cost function, Cq=Fixed Cost+qVariable…

Q: The marketing department at XYZ Company has found that, when Product ABC is sold at a price of p…

A: Given p = cost of the item x = sale of the item costing 'p'.  x = 280-14p R = Revenue, xp   To find:…

Q: Suppose that the price per unit in dollars of a cell phone production is modeled by p = $75 −…

A: The price per unit of a cell phone is modeled by the following expression p = 75-0.0125x Where, x is…

Q: Suppose a firm's revenue function is given as R(Q) = 1200Q- Q? and their cost function is C(Q) = Q3…

A: Given: R(Q)=1200Q-Q2C(Q)=Q3-61.25Q2+1528.5Q+2000 To maximize the firm's profit.

Q: The number of oil changes per hour at Quick Lube is described by the following short-term production…

A: answer is in next step .

Q: Suppose that the revenue and cost functions for a particular company are given by R(x) = – 3x² +…

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Q: A liquid form of penincillin manufactiured by a pharmaceutical firm is sold in bulk at a price of…

A: Total selling price of x unit of penicillin= $200x Profit, p(x)= Selling Price- Cost price…

Q: Suppose a company has a cost function C(x)= 1600-22x+xsquare and the revenune function R(x)=…

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Q: The financial analysis department of a software design company determined that the cost of producing…

A: Given: C(x)=5000+3x p=23-x500 R(x)=px=23x-x2500

Q: A camera company estimates that the demand function for its new consumer digital camera is p=312e^…

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Q: Suppose we have a revenue function given by R(x)=3x^3−αx, where α is a constant. What would the…

A: Formula used:

Q: For a certain company, the cost function for producing x items is C(x)=50x+150 and the revenue…

A: Answer: As per guidelines , i have done only first 3 sub parts :

Q: Suppose that Alexander’s Coffee Shop has fixed costs of $18 and variable costs per unit of $4. The…

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

Q: 1.) The cost of producing and shipping x squeaky dog toys per month is given by the function C(x) =…

A: Since t=you have posted multiple questions, as per our policy we will answer first question. Please…

Q: is C(x)=30x+200 and the revenue function for selling x items is R(x)=−0.5(x−80)2+3,200. The maximum…

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Q: A 60 room hotel is filled to capacity every night at a rate of​ $40 per room. The management wants…

A: Given that A 60 room hotel is filled to capacity every night at a rate of​ $40 per room. The…

Q: Suppose a firm’s profit function is given by π(q)=(1526*q-1*q^2 )-(1*q^2+11*q). What is the profit…

A: First, differentiate the profit function πq=1526q-q2-q2+11q with respect to q to maximize profit.…

Q: The following is a price demand function for a company that produces and sells themed T-shirts:…

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Q: Aki's Bicycle Designs has determined that when x hundred bicycles are​ built, the average cost per…

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