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- A company produces and sells a product and fixed costs of the company are 8500000 Baisa and variable cost is RO. (35+K) per unit and sells the product at RO. (70+M) per unit.a. Find the total cost function. b. Find the total revenue function. c. Find the profit function and determine the profit when 1250 units are sold. d. How many units must be produced and sold to yield a profit of RO. 20000? e. How many units must be sold to break even?The total revenue function for a product is given by R=655x dollars, and the total cost function for this same product is given by C=19,250+70x+x2, where C is measured in dollars. For both functions, the input x is the number of units produced and sold. a. Form the profit function for this product from the two given functions. b. What is the profit when 25 units are produced and sold?A company has invested in an online tool that is expected to generate a continuous revenue at a rate that increases 252 thousand TLs per time period t (t= 0 is when the tool begins to function). A continous promotion cost (in thousand TLs) function for 578 time periods, C(t), is also derived for the machine, C(t) = -t2 + 578t. Find out when the tool starts to generate profit? (Ignore the range of the cost function.
- A local company is planning to manufacture and market a four-slice toaster. For this toaster, the research department’s estimates are aweekly demand of 300 toasters at a price of $25 per toaster and a weekly demand of 400 toasters at a price of $20. The financial department’s estimates are fixed weekly costs of$5,000 and variable costs of $5 per toaster. Assume that the cost function is linear. Use the financial department’s estimates to express the cost function interms of ?. Determinethe Marginal cost and interpret the results.A certain seed and fertilizer company compiled the following estimates for its operations. Capacity per period is sales of $160,000. Find (a) the revenue function (b) the cost function if Sales $121,800 Total variable cost 51,156 Total cost 92,356 Net income $26,400 (a) Write an algebraic expression for the revenue function. Assume a selling price of $1. Total Revenue=........... (Type an expression using x as the variable.) (b) Write an algebraic expression for the cost function. Total Cost=........ (Type an expression using x as the variable.)The total cost C for a manufacturer during a given time period is a function of the number N of items produced during that period. To determine a formula for the total cost, we need to know two things. The first is the manufacturer's fixed costs. This amount covers expenses such as plant maintenance and insurance, and it is the same no matter how many items are produced. The second thing we need to know is the cost for each unit produced, which is called the variable cost.Suppose that a manufacturer of widgets has fixed costs of $1000 per month and that the variable cost is $20 per widget (so it costs $20 to produce 1 widget). Explain why the function giving the total monthly cost C, in dollars, of this widget manufacturer in terms of the number N of widgets produced in a month is linear. C always increases by $20 when N increases by ______. Therefore, C has a constant rate of change and so is a linear function of N. Identify the slope and initial value of this function. slope…
- When the power law is applied to unit costs, unit costs exhibit a(n)?A vacuum cleaner retailer has been selling 84 units per month of the basic Bissell stick model for $80. The retailer’s variable costs for that model are $51. (a) If a retail manager has only the information provided above, calculate the breakeven sales level for lowering the price of the basic Bissell stick model to $72. Show your work. (b) Assume that the retail manager then finds out that when a customer buys a Bissell stick model, the customer also spends an average of $20 for vacuum cleaner bags and that the retailer’s contribution margin on vacuum cleaner bags is 55%. Given this additional information, recalculate the breakeven sales level for lowering the price of the basic Bissell stick model to $72. Again, show your work. (c) Would having the additional information about the vacuum cleaner bags make it easier for the manager to make more profit from the price decrease or would it make it harder for her to do so? Explain your reasoning.Suppose a company has fixed costs of $300 and variable costs of 3/4 x+1460 dollars per unit, where x is thetotal number of units produced. Suppose further that the selling price of its product is 1500−1/4 x dollars per unit.(a) Find the break-even points.(b) Find the maximum revenue.(c) Form the profit function from the cost and revenue functions and find maximum profit.(d) What price will maximize the profit?
- A musical Disc is being produced by a music recording studio, and the company estimates that it will cost $100,000 to record the Disc and $6.75 per unit to duplicate and distribute the Disc. The Disc wholesale cost is $19.95. (a) Find the cost and revenue functions (b) Find the profit function (c) Find the number of Disc’s the company must produce and sell in order to break even (d) Draw a graph with the cost and revenue functions on the same axes, indicating the breakeven point.A small plant manufactures riding lawn mowers. The plant has fixed costs (leases, insurance, and so on) of $24,000 per day and variable costs (labor, materials, and so on) of $1,200 per unit produced. The mowers are sold for $1,500 each. The cost and revenue equations are shown below where x is the total number of mowers produced and sold each day and the daily costs and revenue are in dollar y=24000 + 1200x Cost equation y= 1500x Revenue equation How many units must be manufactured and sold each day for the company to break even ?An apple grower has discovered a process for producing oranges that requires two inputs. The production function is Q = min{2x, y}, where x and y are the amounts of inputs 1 and 2 that he uses. The prices of these two inputs are wx = $5 and wy = $10, respectively. The minimum cost of producing 160 units is therefore:a. $2,400.b. $1,600c. $800.d. $2,000.e. $8,000. Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.