Math/Management

MeanBeats is a company that manufactures and sells electronic musical equipment. Their
headphone product line consists of two products, Reverbia and Bscape. MeanBeats sells
the headphones to retailers at $600 and $300 per pack for Reverbia and Bscape,
respectively. The company needs to know how many packs of each headphone to make to maximize potential revenue. They know that there will be at least twice as many
Bscape orders as there are for Reverbia. Additionally, below are business rules that the
company must follow on ordering packs of headphones:

i) the Bscape orders plus twice the Reverbia orders cannot exceed 20 packs.
ii) the Reverbia orders are no more than 10 more than the Bscape orders, and
iii) the Bscape orders are no more than 3 more than the Reverbia orders.

a. Formulate a linear programming model (that is, define the variables, and write down
the objective function and all constraints mathematically).
b. Solve this problem using graphical analysis. Please label each constraint and identify
the feasible region on the graph. Plot several level curves of the objective function
line and clearly identify the optimal point.
c. What is the optimal solution? What is the optimal value?

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  1. The answer is one that you must learn for yourself my friend...

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