Solve This Linear Programming Mixture Problem: a Small Stereo Manufacturer

question 30

Essay

Solve this linear programming mixture problem: A small stereo manufacturer makes a receiver and a CD player. Each receiver takes eight hours to assemble, one hour to test and ship, and earns a profit of $30. Each CD player takes 15 hours to assemble, two hours to test and ship, and earns a profit of $50. There are 160 hours available in the assembly department and 26 hours available in the testing and shipping department. What should the production schedule be to maximize profit?

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Definitions:

Channel Intermediaries

Entities that facilitate the distribution process by moving products from producers to consumers, including wholesalers, retailers, agents, and brokers.

Intensive Distribution

Intensive Distribution is a marketing strategy where a company aims to make its products available in as many outlets as possible, maximizing visibility and accessibility to consumers.

Sales Volume

The total quantity of products or services sold by a company in a specified period, used as an indicator of business performance.

Profit Margin

a financial metric used to assess a company's profitability by dividing net income by net sales.