Business: Exploring a Lot Size Problem Use a graphing calculator to explore Example 1 (p...

Business: Exploring a Lot Size Problem Use a graphing calculator to explore Example 1 (pages 212–213) as follows:

a. Enter the total cost function, unsimplified, as y₁ = 100(x/2)1(300x+500)(250/x).

b. Graph y₁ on the window [0, 200] by [0, 150,000] and use MINIMUM to minimize it. Your answer should agree with the x = 50 found in Example 1.

c. Suppose that business improves, and the showroom expects to sell 350 per year instead of 250. In y₁, change the 250 to 350 and minimize it.

d. Suppose that a modest recession decreases sales (so change the 350 back to 250), and that inflation has driven the cost of storage up to $125 (so change the 100 to 125), and minimize y₁.