Sara's Sensible Critters Makes Two Kinds of Catnip Toys: Balls

Multiple Choice

Sara's Sensible Critters makes two kinds of catnip toys: balls (x₁) and mice (x₂) . The relationship between demand and price for balls and mice is:
x₁ = 1800 - 150p₁
x₂ = 1500 - 300p₂
The cost for a catnip ball is $2 and for the mouse, $3.
Sara has only 200 ounces of catnip on hand. A ball uses a tenth of an ounce and a toy mouse uses one-quarter of an ounce.
-Write the appropriate expression for profit.

A) Max Z = (p₁ - 3) x₁ + (p₁ - 2) _x2
B) Max Z = (p1 + ₁) x₁ + (p₁ + 3) _x2
C) Max Z = (p1 - ₁) x₁ + (p₁ - 3) _x2
D) Min Z = (p1 -₁) x₁ + (p₁ - 3) _x2