A small business can produce a maximum of 46 of its product per month and sell them for $7each. The variable costs are $2 per unit and fixed costs are $175 per month.a) Find the revenue function.R(x) =b) Find the cost function.C(x) =c) Calculate the number of items needed to be sold per month to break-even.d) Calculate the revenue at the break-even (round off to the nearest cent).$e) Plot the revenue and cost functions.400300Revenue/Cost($)

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Managerial Economics: A Problem Solving Approach

5th Edition

ISBN:9781337106665

Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Chapter4: Extent (how Much) Decisions

Section: Chapter Questions

Problem 3MC

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swered Costs per Unit (dollars) 1000 900 800 700 600 500 400 300 200 100 0 4 Average total cost B Marginal cost Output (units per day) Average variable cost Average fixed cost 22 24 How many units of output should be produced per day if the price of the product is $600/unit? (provide an approximate answer in whole numbers)
Melvin manufactures a single product. Total cost per unit is $70 when production is 100 units per week, and $62.50 when production is 160 units per week. What are the total fixed costs per week?
A small business can produce a maximum of 43 of its product per month and sell them for $7 each. The variable costs are $2 per unit and fixed costs are $125 per month. a) Find the revenue function. R(x) = b) Find the cost function. C(x) = c) Calculate the number of items needed to be sold per month to break-even. d) Calculate the revenue at the break-even (round off to the nearest cent). $
Use the equations for the total cost C and total revenue R to find the number x of units a company must sell to break even. (Round to the nearest whole unit.) C = 8950x + 220,000, R = 9857x
Billco had a total cost of $10,000 when it sold 200 units. It had a total cost of $14,000 when it sold 250 units. What was Billco's average total cost when it sold 250 units?
Assume that it costs a company approximately C(x) = 400,000 + 160x + 0.002x2 dollars to manufacture x smartphones in an hour. (a) Find the marginal cost function. Use it to estimate how fast the cost is increasing when x = 10,000. $ per smartphone Compare this with the exact cost of producing the 10,001st smartphone. The cost is increasing at a rate of $ per smartphone. The exact cost of producing the 10,001st smartphone is $ Thus, there is a difference of $ (b) Find the average cost function C and the average cost to produce the first 10,000 smartphones. C(x) = C(10,000) = $ (c) Using your answers to parts (a) and (b), determine whether the average cost is rising or falling at a production level of 10,000 smartphones. The marginal cost from (a) is --Select--- v than the average cost from (b). This means that the average cost is ---Select--- v at a production level of 10,000 smartphones. Need Help? Watch It
Suppose that the cost function for a commodity is C(x) = 40 + x2 dollars. (a) Find the marginal cost at x = 4 units. MC(4) = Tell what this predicts about the cost of producing 1 additional unit. The cost to produce the 5th unit is predicted to be $ (b) Calculate C(5) – C(4) to find the actual cost of producing 1 additional unit. Need Help? Read It Watch It
A small business produces and sells balls. The fixed costs are $20 and each ball costs $2.92 to produce. Each ball sells for $7.92. Write the equations for the total cost, C, and the revenue, R, then use the graphing method to determine how many balls must be sold to break even.
Identify a fixed cost
Assume that it costs a company approximately C(x) = 400,000 + 140x + 0.003x? dollars to manufacture x smartphones in an hour. (a) Find the marginal cost function. 400,000 – 0.000009 Use it to estimate how fast the cost is increasing when x = 10,000. 2$ per smartphone Compare this with the exact cost of producing the 10,001st smartphone. The cost is increasing at a rate of $ per smartphone. The exact cost of producing the 10,001st smartphone is $ Thus, there is a difference of $ (b) Find the average cost function C and the average cost to produce the first 10,000 smartphones. C(x) = C(10,000) = $ (c) Using your answers to parts (a) and (b), determine whether the average cost is rising or falling at a production level of 10,000 smartphones. -Select--- at a production level of 10,000 smartphones. The marginal cost from (a) is --Select--- than the average cost from (b). This means that the average cost is
Assume that it costs a company approximately C(x) = 400,000 + 180x + 0.001x² dollars to manufacture x smartphones in an hour. (a) Find the marginal cost function. Use it to estimate how fast the cost is increasing when x = 10,000. $ per smartphone Compare this with the exact cost of producing the 10,001st smartphone. The cost is increasing at a rate of $ per smartphone. The exact cost of producing the 10,001st smartphone is $ Thus, there is a difference of $ (b) Find the average cost function C and the average cost to produce the first 10,000 smartphones. C(x) C(10,000) $ (c) Using your answers to parts (a) and (b), determine whether the average cost is rising or falling at a production level of 10,000 smartphones. The marginal cost from (a) is ---Select--- O than the average cost from (b). This means that the average cost is ---Select--- O at a production level of 10,000 smartphones.
Cost, revenue, and profit are in dollars and x is the number of units. If the daily marginal cost for a product is MC = 8x + 150, with fixed costs amounting to $600, find the total cost function for each day. C(x) =

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