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For the cost function C(Q) = 158 + 2Q + 2Q2, what is the average variable cost of producing 3 units of output? (Round your answer to two decimals as needed)
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- When a firm produces 600 widgets with total cost of $1,300 and fixed cost of $800, what is the average variable cost?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
- 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=800It costs a baker a fixed cost of $420 and variable cost of $2.10 per cupcake.A cupcake is sold for $4.90 each.(iii) Write an algebraic expression representing the cost C as a function of the number of cupcakes x that are produced.Please I need help on the math question I don't ge it Suppose that the monthly cost, in dollars, of producing x chairs is C(x)=0.005x3+0.07x2+15x+600, and currently 35 chairs are produced monthly. a) What is the current monthly cost? b) What is the marginal cost when x=35? c) Use the result from part (b) to estimate the monthly cost of increasing production to 37 chairs per month. d) What would be the actual additional monthly cost of increasing production to 37 chairs monthly?
- The estimated cost to produce x items is given by the function: C(x) = 0.004x² + 5x + 6000 Determine the average cost and marginal cost of producing 2,000 items and calculate the level of output for which the average cost is the lowest and what that cost is.Production function of a company is given by f(x;y)= root of x + root of y where x is labor and y is capital. Cost of labor is 2 currency units, while the cost of capital is 1 currency unit. What are the minimal cost to produce 10 units of the product? What is the change in the costs, if the production volume would increase by 50 %?what is the fixed cost, marginal cost, average total cost, average variable cost and average fixed cost of the following function? TC = 30Q^3-300 Q^2+800Q+95
- A firm has an average cost function A(q) =125/ q +q2 /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? Only solve (iv) & (v) (iv) Write an equation for the total cost function.(v) Hence calculate the level of output for which total costs are minimum.Assume that it costs a company approximately C(x) = 400,000 + 160x + 0.003x² 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 $ (b) Find the average cost function C and the average cost to produce the first 10,000 smartphones. C(x) (10,000) = = per smartphone. The exact cost of producing the 10,001st smartphone is $ $ (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--- than the average cost from (b). This means that the average cost is ---Select--- Thus, there is a difference of $ at a production level of 10,000 smartphones.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.