Question: The cost function for a manufacturer is C(x) dollars, where x is the number of units of goods produced and C, C, and C are

The cost function for a manufacturer is C(x) dollars, where x is the number of units of goods produced and C, C′, and C″ are the functions given in Fig. 15.1500 1000 500 30 20 10 y y=C(x) 50 y=C(r) 50 100

(a) What is the cost of manufacturing 60 units of goods?

(b) What is the marginal cost when 40 units of goods are manufactured?

(c) At what level of production is the cost $1200?

(d) At what level(s) of production is the marginal cost $22.50?

(e) At what level of production does the marginal cost have the least value? What is the marginal cost at this level of production?

1500 1000 500 30 20 10 y y=C(x) 50 y=C(r) 50 100 (a) 150 y=C"(x) 100 150 (b) Figure 15 Cost function and its derivatives. x

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a Since C60 1100 the cost is 1100 b Since C40 125 the marginal cost is 1250 c S... View full answer

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