1. Optimization

2. A company manufactures and sells x videophones per week. The weekly price-demand and cost equations are What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the maximum weekly revenue? What price should the company charge for the phones, and how many phones should be produced to maximize the weekly profit? What is the maximum weekly profit?

3. A company manufactures and sells x videophones per week. The weekly price-demand and cost equations are What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue?

4. What is the maximum weekly profit? What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? 500 phones, $250 each A company manufactures and sells x videophones per week. The weekly price-demand and cost equations are What is the maximum weekly revenue? What price should the company charge for the phones, and how many phones should be produced to maximize the weekly profit?

5. What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? 500 phones, $250 each A company manufactures and sells x videophones per week. The weekly price-demand and cost equations are What is the maximum weekly revenue?

6. What is the maximum weekly revenue? $125,000 What is the maximum weekly profit? What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? 500 phones, $250 each A company manufactures and sells x videophones per week. The weekly price-demand and cost equations are What price should the company charge for the phones, and how many phones should be produced to maximize the weekly profit?

7. What is the maximum weekly revenue? $125,000 What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? 500 phones, $250 each A company manufactures and sells x videophones per week. The weekly price-demand and cost equations are What price should the company charge for the phones, and how many phones should be produced to maximize the weekly profit?

8. What price should the company charge for the phones, and how many phones should be produced to maximize the weekly profit? 365 phones, $317.50 each What is the maximum weekly revenue? $125,000 What is the maximum weekly profit? What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? 500 phones, $250 each A company manufactures and sells x videophones per week. The weekly price-demand and cost equations are

9. What is the maximum weekly profit? $46,612.50 What price should the company charge for the phones, and how many phones should be produced to maximize the weekly profit? 365 phones, $317.50 each What is the maximum weekly revenue? $125,000 What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? 500 phones, $250 each A company manufactures and sells x videophones per week. The weekly price-demand and cost equations are

10. A publishing company sells 50,000 copies of a certain book each year. It costs the company $1 to store a book for 1 year. Each time that it prints additional copies, it costs the company $1000 to set up the presses. How many books should the company produce during each printing, and how many times a year should they print, in order to minimize the total inventory costs? Total inventory costSet-up costStorage cost _____ Books per run_____ runs per year

11. A publishing company sells 50,000 copies of a certain book each year. It costs the company $1 to store a book for 1 year. Each time that it prints additional copies, it costs the company $1000 to set up the presses. How many books should the company produce during each printing, and how many times a year should they print, in order to minimize the total inventory costs? Total inventory costSet-up costStorage cost _____ Books per run_____ runs per year

12. A publishing company sells 50,000 copies of a certain book each year. It costs the company $1 to store a book for 1 year. Each time that it prints additional copies, it costs the company $1000 to set up the presses. How many books should the company produce during each printing, and how many times a year should they print, in order to minimize the total inventory costs? Total inventory costSet-up costStorage cost _____ Books per run_____ runs per year

13. A publishing company sells 50,000 copies of a certain book each year. It costs the company $1 to store a book for 1 year. Each time that it prints additional copies, it costs the company $1000 to set up the presses. How many books should the company produce during each printing, and how many times a year should they print, in order to minimize the total inventory costs? _____ Books per run_____ runs per year

14. A publishing company sells 50,000 copies of a certain book each year. It costs the company $1 to store a book for 1 year. Each time that it prints additional copies, it costs the company $1000 to set up the presses. How many books should the company produce during each printing, and how many times a year should they print, in order to minimize the total inventory costs? _____ Books per run_____ runs per year 10,000 books each printing5 printings per year

15. A box is to be made from a piece of cardboard that measures 10 inches by 12 inches. 12 10 Squares will be cut from each corner.The sides will be folded up to form a rectangular box.What size squares should be cut from each corner to obtain maximum volume? ? ? ? ? Work it on your paper.