When the Price of a Glass of Lemonade at a Lemonade

Multiple Choice

When the price of a glass of lemonade at a lemonade stand was $1.75, 400 glasses were sold. When the price was lowered to $1.50, 500 glasses were sold. Assume that the demand function is linear and that the marginal and fixed costs are $0.10 and $ 25, respectively. Find the profit P as a function of x, the number of glasses of lemonade sold.

A) $P = - 0.0025 x ^ { 2 } + 2.65 x - 25$
B) $P = 0.0025 x ^ { 2 } + 2.65 x - 25$
C) $P = - 0.0025 x ^ { 2 } + 2.65 x + 25$
D) $P = 0.0025 x ^ { 2 } - 2.65 x - 25$
E) $P = - 0.0025 x ^ { 2 } + 2.65 x + 25$