Inventory Control

A company anticipates there will be a demand for 20,000 copies of a certain book during the next year/. It costs the company $0.50 to store a book for 1 year. Each time it must print additional books, it costs $200 to set up the equipment.

NOTE: We assume that the demand is uniform.

Let

x= number of books printed during each printing run

y= number of printing runs

Use this information to answer questions 9-19 below.

Flag question: Question 9

Question 90.4 pts

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The total setup cost for the year is y.

Flag question: Question 10

Question 100.4 pts

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Since we assume the demand is uniform, the number of books in storage between printing runs will decrease from x to .

The average number in storage for each day is x/2.

Use the Inventory Control information above to answer this question.

There is only one critical number c in the interval, and the cost function C(x) is continuous.

Since C(c) [ Select ] [" 0", "= 0", "< 0", " 0", " 0", "> 0"] and C(c) [ Select ] [" 0", "= 0", "< 0", " 0", " 0", "> 0"] , we can use the [ Select ] ["Extreme Value Theorem", "First-Derivative Test for Absolute Extrema on an Interval", "Second-Derivative Test for Absolute Extrema on an Interval", "Chain Rule", "L'Hopital's Rule"] to conclude that C(c) is the [ Select ] ["asymptote", "absolute maximum", "intercept", "absolute minimum"] of the cost function on the interval I.

Question 170.5 pts

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How many books should be produced during each printing run to minimize total cost?

books

Flag question: Question 18

Question 180.5 pts

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How many printing runs should be done?

printing runs

Flag question: Question 19

Question 190.5 pts

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What is the minimum total cost?

$

Question 20 Maximum Revenue

Jesaki Electronics manufactures and sells x smartphones per week. The weekly price-demand and cost equations are, respectively,

p= 532 - 0.48 x and C(x)= 19,390 + 19 x.

Suppose Jesaki Electronics wants to maximize weekly revenue. Compute the following quantities.

How many phones should be produced each week? phones. Round to 2 decimal places.

What price should Jesaki charge for the phones? $ per phone. Round to the nearest cent.

What is the maximum weekly revenue? $ per week. Round to the nearest cent.

Enter the result for 3.