The total cost (in hundreds of dollars) to produce x units of a product is C(x) = (3x - 2) / (9x + 7). Find the average cost for each of the following production levels. a. 15 units b. x units c. Find the marginal average cost function.
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Step 1: Calculate the average cost function: Average cost function = (3x - 2) / x * (9x + 7) Show more…
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The total cost (in hundreds of dollars) to produce x units of a product is C(x) = (2x - 3) / (7x + 2). Find the average cost for each of the following production levels. a. 45 units b. x units c. Find the marginal average cost function. The average cost for 45 units is $ per unit. (Round to the nearest hundredth as needed.) The average cost for x units is hundred dollars per unit. The marginal average cost function is C'(x) =
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The total cost (in hundreds of dollars) to produce x units of a product is C(x) = (7x - 5) / (6x + 1). Find the average cost for each of the following production levels. a. 45 units b. x units c. Find the marginal average cost function. The average cost for 45 units is $ per unit. (Round to the nearest hundredth as needed.) The average cost for x units is hundred dollars per unit. The marginal average cost function is C'(x) =
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$\begin{array}{l}{\text { (a) If } C(x) \text { is the cost of producing } x \text { units of a commodity, }} \\ {\text { then the average cost per unit is } c(x)=C(x) / x . \text { Show }} \\ {\text { that if the average cost is a minimum, then the marginal }} \\ {\text { cost equals the average cost. }}\end{array}$ $\begin{array}{l}{\text { (b) If } C(x)=16,000+200 x+4 x^{3 / 2}, \text { in dollars, find (i) the }} \\ {\text { cost, average cost, and marginal cost at a production }} \\ {\text { level of } 1000 \text { units; (ii) the production level that will }} \\ {\text { minimize the average cost; and (iii) the minimum aver- }} \\ {\text { age cost. }}\end{array}$
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