Problem

Use the models found in Exercise 1 parts (a) and (b), to answer parts (a) and (b).(a) Comp...

Use the models found in Exercise 1 parts (a) and (b), to answer parts (a) and (b).

(a) Compute MAP(x) and simplify the result.


(b) Evaluate MAP(1.5) and interpret the answer.

Exercise 1

Manufacturing—Average Costs: Consider the following data table for the cost and revenues at various production levels for a new brand of computer printer.

Number of printers produced, x

Cost, C(x)

Revenue, R(x)

1000

243,600

296,950

2000

363,000

575,800

3000

482,800

818,550

4000

603,300

1,007,200

(a) Use your calculator to determine a linear regression model for the cost of producing the printer in the form

C(x) = ax + b 1 ≤ x ≤ 4

where x represents the number of printers produced in thousands and C(x) represents the cost of production.


(b) Use your calculator to determine a cubic regression model for the revenue of producing and selling the printers in the form

R(x) = ax3 + bx2 + cx + d 1 ≤ x ≤ 4

where x represents the number of printers produced and sold in thousands and R(x) represents the resulting revenue.


(c) Compute MAC(x) and simplify the result.


(d) Evaluate MAC(1.5) and interpret.

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