Exercise NO: 2

          Linear, stepwise linear, and piecewise linear cost functions (a)          Total fixed costs are $10 000 per week and the variable cost per u

          Linear, stepwise linear, and piecewise linear cost functions

(a)          Total fixed costs are $10 000 per week and the variable cost per unit is $8. Write the algebraic expression for the cost function and graph it. What are the assumptions of the cost function?

(b)          Total fixed costs are $25 000 per week up to 2000 units a week and then jump up to $35 000 per week. The variable cost per unit is $8. Write the algebraic expression for the cost function and graph it.

(c)           The average cost to produce 10,000 units is $45 and the average cost to produce 12 000 units is $44. Estimate the average cost to produce 15 000 units.

(d)          The total cost function for Hot Dog Days, a hot dog cart business in Centennial Park, is TC = $5000 + 45% ´ total revenues. Estimate the total cost for a month when total revenues are $10 000.

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