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

question 31

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:

Translate recursive sequence definitions into explicit formulas.

Determine the sum of a series using known formulas.

Apply principles of sequences and series to real-world problems.

Understand the concept and computation of partial sums in geometric sequences.

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Definitions:

Revenue

Revenue is the total amount of money received by a company for goods sold or services provided during a certain period of time, before any expenses are deducted.

Expenditures

The total amount of money spent by a household or country on consumption and services.

Diagram

A graphical representation of information or data, typically used to visualize complex relationships or processes.

Consumer Expenditures

The total amount of money spent by consumers on goods and services in a given period.