Q 67

A major software developer has estimated the demand for its new personal finance software package to be Q = 1,000,000P^{-}^{2} while the total cost of the package is C = 100,000 + 25Q. If this firm wishes to maximize profit, what percentage markup should it place on this product?
A) 90%
B) 100%
C) 20%
D) 40%
E) 250%

Q 68

The Fabulous 50s Decor Company is the only producer of pink flamingo lawn statues. While business is not as good as it used to be, in recent times the annual demand has been Q = 400 - 6P. Flamingo lawn statues are handcrafted by artisans using the process Q = min{L, } where L is hours of labor and P is pounds of pink plastic. P_{L} = 15 and P_{P} = 3. What would be the profit-maximizing output and price?
A) Q = 179 and P = 36.83.
B) Q = 192.25 and P = 34.63.
C) Q = 199.42 and P = 33.43.
D) Q = 101 and P = 49.83.
E) Q = 202 and P = 33.

Q 69

The Fabulous 50s Decor Company is the only producer of pink flamingo lawn statues. While business is not as good as it used to be, in recent times the annual demand has been Q = 700 - 5P. Flamingo lawn statues are handcrafted by artisans using the process Q = min{L, } where L is hours of labor and P is pounds of pink plastic. P_{L} = 20 and P_{P} = 2. What would be the profit-maximizing output and price?
A) Q = 265 and P = 87.
B) Q = 330 and P = 74.
C) Q = 339.86 and P = 72.03.
D) Q = 349.43 and P = 70.11.
E) Q = 530 and P = 34.