Billy's Blues Sells 3 Types of T-Shirts: Astro, Bling, and Curious

Multiple Choice

Billy's Blues sells 3 types of T-shirts: Astro, Bling, and Curious. Manufacturing Astros requires 2 minutes of machine time and 20 minutes of labor, and costs $10. Brand Bling requires 2.5 minutes of machine time and 30 minutes of labor, and costs $14 to produce. Brand Curious requires 3 minutes of machine time and 45 minutes of labor, and costs $18 to produce. There are 300 machining hours available per week, 3750 labor hours, and he has a budget of $3000. Brand Astro sells for $15, Brand Bling for $18, and Brand Curious for $25.
The LP formulation that maximizes week profit shown below.
MAX 15A +18B + 25 C
s.t.
2A + 2.5B + 3C ≤ 300
20A + 30B + 45C ≤ 3750
10A + 14B + 18C ≤ 3000
The solution from QM for Windows is show below.


-Billy has decided that he can raise the price on the Curious t-shirt by 10% without losing sales. If he raises the price, his profits will

A) increase by 10%.
B) decrease by 10%.
C) increase by $2.50.
D) increase by $125.