Q: In the planning of a sidewalk café, it is estimated that
In the planning of a sidewalk café, it is estimated that for 12 tables, the daily profit will be $10 per table. Because of overcrowding, for each additional table the profit per table (for every table...
See AnswerQ: A certain toll road averages 36,000 cars per day when
A certain toll road averages 36,000 cars per day when charging $1 per car. A survey concludes that increasing the toll will result in 300 fewer cars for each cent of increase. What toll should be char...
See AnswerQ: The monthly demand equation for an electric utility company is estimated to
The monthly demand equation for an electric utility company is estimated to be p = 60 - (10-5)x, where p is measured in dollars and x is measured in thousands of kilowatt-hours. The utility has fixe...
See AnswerQ: The demand equation for a company is p = 200 - 3x
The demand equation for a company is p = 200 - 3x, and the cost function is C(x) = 75 + 80x - x2, 0 ≤ x ≤ 40. (a) Determine the value of x and the corresponding price that maximize the profit. (b) If...
See AnswerQ: A savings and loan association estimates that the amount of money on
A savings and loan association estimates that the amount of money on deposit will be 1 million times the percentage rate of interest. For instance, a 4% interest rate will generate $4 million in depos...
See AnswerQ: Let P(x) be the annual profit for a certain
Let P(x) be the annual profit for a certain product, where x is the amount of money spent on advertising. (See Fig. 13.) (a) Interpret P(0) (b) Describe how the marginal profit changes as the amount o...
See AnswerQ: The revenue for a manufacturer is R(x) thousand dollars
The revenue for a manufacturer is R(x) thousand dollars, where x is the number of units of goods produced (and sold) and R and R are the functions given in Figs. 14(a) and 14(b). Figure 14:
See AnswerQ: The cost function for a manufacturer is C(x) dollars
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. Figure 15: (a) What is the cost of manuf...
See AnswerQ: Figure 3 contains the curves y = f (x), y
Figure 3 contains the curves y = f (x), y = g(x), and y = h(x) and the tangent lines to y = f (x) and y = g(x) at x = 1, with h(x) = f (x) + g(x). Find h(1) and h’(1). Figure 3:
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