(1) The revenue for a product is R(x) = -0.004x? + 21x – 6200 and the cost is C(x) = 0.02x + 38, for x units produced and sold. (a) Find the marginal profit for 2800 units. (b) Should output be increased or decreased to generate a higher profit?
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- (1) The revenue for a product is R(x) = -0.004x? + 21x cost is C(x) = 0.02x + 38, for x units produced and sold. (a) Find the marginal profit for 2800 units. (b) Should output be increased or decreased to generate a higher profit? 6200 and the(1) The revenue for a product is R(x) = −0.004x2 + 21x − 6200 and the cost is C(x) = 0.02x + 38, for x units produced and sold.(a) Find the marginal profit for 2800 units.(b) Should output be increased or decreased to generate a higher profit?A privately owned summer camp for youngsters has the following data for a 12-week session.(a) Develop the mathematical relationships for total cost and total revenue. (b) What is the total number of campers that will allow the camp to just break even? (c) What is the profit or loss for the 12-week session if the camp operates at 80% capacity? (d) What are marginal and average costs per camper at 80% capacity? (e) Would it be ethical to charge campers different rates depending on their family’s socioeconomic status? Identify and describe two points pro and two points con for such a policy.
- A company makes and sells toasters. To make the toasters there is a fixed monthly cost of $27,000 and an additional production cost of $30 per toaster. The toasters sell for $75 each. (a) Write down the cost function. (b) Write down the revenue function. (c) Find the profit function. (d) Find the break even point. (e) How many toasters must the company sell to make a 15% profit?(b) A firm has an average cost function A(q) = 125 q + q 2 16 − 4. where q is the firm′ s output. (i) Determine the level of output for average costs are minimum. (ii) Hence determine the range of values for which average costs are decreasing. (iii) What part of the decreasing range is practically feasible? (iv) Write an equation for the total cost function. (v) Hence calculate the level of output for which total costs are minimum. Can I get the answer for (iv) and (v) pleasethese are the drop down options Washes per hour dollars
- The figure shows graphs of the total cost function and the total revenue function for a commodity. (Assume cost and revenue are measured in dollars.) میرے y 500 400 300 200 100 10 20 30 (a) Label each function correctly. function A | ---Select--- function B | ---Select--- (b) Determine the fixed costs. $ 40 50 A B 60 XCost, revenue, and profit are in dollars and x is the number of units. Suppose that the marginal revenue for a product is MR = 1800 and the marginal cost is MC = 90Vx + 4, with a fixed cost of $600. (a) Find the profit or loss from the production and sale of 5 units. There is a -Select-- | of $ (b) How many units will result in a maximum profit? unitsCrawford Computing finds that its weekly profit, in dollars, from its production and sale of x laptop computers is P(x)=-.002x^3-.15x^2+400x-800 Currently, Crawford builds and sells 9 laptops weekly. (a) what is the current weekly profit? (b) how much profit would be lost if production and sales dropped to 8 laptops weekly? (c) what is the marginal profit with x=9? (d) use answers from parts (a) and (c) to estimate the profit resulting from the production and sale of 10 laptops weekly.
- The cost, in dollars, of producing x yards of a certain fabric is C(x) = 900 + 12x - 0.1x² +0.0005x³ and the company finds that if it sells x yards, it can charge p(x) = 27-0.00021x dollars per yard for the fabric. (a) Graph the cost and revenue functions. y 8000 6000 4000 2000 y 15 000 10 000 5000 R C 100 R =² C 100 200 200 300 300 X 400 400 X Use the graph to estimate the production level for maximum profit. 283.092 x yards y 15 000 10 000 5000 y 15 000 10 000 5000 R 100 R C 100 200 200 (b) Use calculus to find the production level for maximum profit. (Round your answer to two decimal places.) 186.63 yards 300 300 400 400 XThe figure shows graphs of the total cost function and the total revenue function for a commodity. (Assume cost and revenue are measured in dollars.) 500 400 300 200 100 میرا 10 20 30 (a) Label each function correctly. function A -Select- function B -Select- (b) Determine the fixed costs. (c) Locate the break-even point. A B 40 50 60 Determine the number of units sold to break even. units (d) Estimate the marginal cost MC and marginal revenue MR. MC = MR-C(x) = 0.01x-0.3x + 10x gives the cost, in thousands of dollars, to produce x thousand items. (a) Find a formula for the marginal cost. (b) Find C'(0). Give units. (c) Graph the marginal cost function. Use your graph to find the minimum marginal cost, the production level for which the marginal cost is the smallest. (d) For what value of x does the marginal cost return to C'(0)? (a) Find a formula for the marginal cost. c'(x) =D (b) Find C'(0). Give units. c'(0) = (c) Use the derivative of the marginal cost function to find the minimum marginal cost, the production level for which the marginal cost is the smallest. The minimum marginal cost of additional dollars per item produced occurs when thousand items are produced. d) Recall your answer to part b. For what value of x does the marginal cost return to C'(0)? Marginal cost returns to this value of C (x) when x = items are produced.