The joint cost, in dollars, for two products is given by C(x, y) = xVy2 + 11. (Round your answers to the nearest integer.) (a) Find the marginal cost (in dollars) with respect to x if 30 units of x and 5 units of y are produced. dollars per unit of x (b) Find the marginal cost (in dollars) with respect to y if 30 units of x and 5 units of y are produced. dollars per unit of y
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- The cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 150 + 2,600x – 0.06x2. (a) Find the marginal cost function C'(x). C'(x) = (b) Use the marginal cost to approximate the cost to air the 5th commercial. Convert your answer to dollars. The cost to air the 5th commercial is approximately X dollars. (c) What is the exact cost to air the 5th commercial? Convert your answer to dollars. The exact cost to air the 5th commercial is x dollars.Suppose the fixed cost of building a nuclear power plant is $1 billion. Suppose also that the only variable cost is the labor of Homer Simpson, and he earns $10 per hour. If the plant generates 1,000 kilowatts each hour, and has already generated 1 billion kilowatts, what can you say about the marginal cost of the next kilowatt? (A) The marginal cost is equal to $0.01. (B) The marginal cost is equal to $1.01. D The marginal cost is falling. The marginal cost is rising.Suppose that the dollar cost of producing q appliances is c(q) = 1500 + 140q-0.3q. (a) Find the average cost per appliance of producing the first 150 appliances. (b) Find the marginal cost when 150 appliances are produced. (a) The average cost per appliance of producing the first 150 appliances is $ (Round to the nearest cent as needed.) per appliance. The total-cost function for an electric light and power plant is estimated to be c= 32.07 -0.79g +0.02142q -0.0001g 10sqs 100 where q is the eight-hour total output (as a percentage of capacity) and c is the total fuel cost in dollars. Find the marginal-cost function and evaluate it when q 38. Determine the marginal-cost function. Select the correct choice below and fill in the answer box to complete your choice. (Use integers or decimals for any numbers in the expression.) OA. dq OB.
- Refer to the figure. What is the marginal cost of the 15th hour spent on this activity? (Round to the nearest tenth) Total Cost E b n Z a=122 b= 82 c=56 x=9 y = 15 z = 19 HoursAs a producer and seller of some commodity, you have learned that, if you produce and sell x itmes in a particular month, the following functions can be used to find the cost and revenue: Revenue: R(x)=150x-x^2 and Cost: C(x)=3000+20x. (a) Write a simplified formula for your profit in a particular month, P(x)=R(x)- C(x) (b) Find the "break-even" point(s) (c) How many items should you produce and sell in a month in order to achieve a maximum profit? (d) What is the maximum possible monthly profit? This is the problem and I cannot solve the c and d, could you please help me?Suppose that the dollar cost of producing x appliances is c(x) = 1000 + 70x-0.1x². a. Find the average cost per appliance of producing the first 100 appliances. b. Find the marginal cost when 100 appliances are produced. c. Show that the marginal cost when 100 appliances are produced is approximately the cost of producing one more appliance after the first 100 have been made, by calculating the latter cost directly. CUCKO The average cost per appliance of producing the first 100 appliances is $ (Round to the nearest cent as needed.) /appliance.
- Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x)=7000+6x+0.01x^2+0.0002x^3. (a) Find the marginal cost function. (b) Find the marginal cost at x=100 (c) Find the cost at x=100A company has cost and revenue functions, in dollars, given by C(q) = 6000 + 10g and R(q) – 12q . (a) Find the cost and revenue if the company produces 500 units. Does the company make a profit? What about 5000 units? Enter the exact answers. The cost of producing 500 units is $ The revenue if the company produces 500 units is $ | Thus, the company a profit. The cost of producing 5000 units is $ The revenue if the company produces 5000 units is s Thus, the company a profit. (b) Find the break-even point. Enter the exact answer. The break-even point is |units. Which of the following illustrates the break-even point graphically? 50000 R(g) C(q) 40000 30000 20000 10000 1000 2000 3000 4000 5000 50000 40000 30000 - 20000 10000 R(g) C(g) 1000 2000 3000 4000 5000The total cost (in dollars) of producing x food processors is C(x) = 1600 + 40x-0.1x². (A) Find the exact cost of producing the 61st food processor. (B) Use the marginal cost to approximate the cost of producing the 61st food processor. CHEO (A) The exact cost of producing the 61st food processor is $ (B) Using the marginal cost, the approximate cost of producing the 61st food processor is $
- 11) The total cost of producing q items is given by the formula C(q) = -q^3 + 40q^2 +1000, e.g. C(10) gives the cost of the first 10 items. a) Find the average cost of producing the first 12 items. b. Find the marginal cost when q = 9.The MBF plant costs a total of $ 45,000 if it produces 500 products, and a total cost of $ 100,000 if it produces 1,000 of the same product. If each item sells for $ 100, it is desirable to calculate : a. Draw a diagram to determine the breaking point for it. B. If we want to make a profit of $ 20,000 by selling 2,500 products, what is the variable cost? F Profit(P) = pQ - (F + vQ) %3D TR=pQ TC=F+vQ Q=F/(p-v)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.