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- 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 the total cost of producing T-shirt can be TC = 50+2q. The average cost of 5th T-shirt?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.
- A skateboard manufacturer produces skateboards at a cost of $45 each, with a monthly fixed cost of $9000. Let x be the number of boards manufactured in a month. Write a function C(x) that represents the total cost of producing x boards. A/ Write a function A(x) that represents the average cost per skateboard each month. A/ Find the equation of the horizontal asymptote of A(x). A .DSuppose the total cost of producing T-shirt can be TC = 50+2q. The average cost ofConsider the following cost function. a. Find the average cost and marginal cost functions. b. Determine the average and marginal cost when x = a. c. Interpret the values obtained in part (b). C(x) = 0.04x³ +0.4x² + 30x+130, 0≤x≤ 1500, a = 1000 a. The average cost function is C(x)=
- Consider the following cost function: C= 0.25q - 49° + 85q + 150: When output is 16 units, average cost is $ (Enter a numeric response using a real number rounded to two decimal places.) When output is 16 units, marginal cost is $ The output level where average variable cost equals marginal cost is units. 20 tv MacBook Air 80 DII F2 F3 F4 FB F10 F11 %23 $ & 3 4 5 8 { [ ン E R Y U P D F G K C V N M command option .. .. トWhat is the marginal cost, if the cost function given is C(Y)=6Y²? a) Y? b) 3Y c) 6Y d) 12YA firm's cost function is given by C(x,y)=2x²+y²+2, where two outputs are produced, x and y. What are the outputs levels that minimize the costs to the firm? What is that minimal cost? Using hessian determinant show that cost is indeed minimized
- What is the critical point of the total cost function TC=1/3Q3+6Q2-640Q ?2. If c=3q-3q2+q3is a cost function, when is marginal cost decreasing?Consider the following cost function. a. Find the average cost and marginal cost functions. b. Determine the average and marginal cost when x=a. c. Interpret the values obtained in part (b). C(x)=0.04x^3+0.6x^2+60x+120, 0≤x≤1500, a=800