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.


-If one of Billy's machines breaks down, it usually results in about 6 hours of downtime. When this happens, Billy's profits are reduced by:

A) $15
B) 18
C) $25
D) $35