The Following Linear Programming Problem Has Been Written to Plan

question 47

Multiple Choice

The following linear programming problem has been written to plan the production of two products. The company wants to maximize its profits. X₁ = number of product 1 produced in each batch
X₂ = number of product 2 produced in each batch
$$\begin{array} { l l } \text { MAX: } & 150 X _ { 1 } + 250 X _ { 2 } \\\text { Subject to: } & 2 X _ { 1 } + 5 X _ { 2 } \leq 200 \\& 3 X _ { 1 } + 7 X _ { 2 } \leq 175 \\& X _ { 1 } , X _ { 2 } \geq 0\end{array}$$ How much profit is earned if the company produces 10 units of product 1 and 5 units of product 2?

• A) 750
• B) 2500
• C) 2750
• D) 3250

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Definitions:

Unliquidated Debt

A debt that has not been determined or calculated because the exact amount owed may not be known.

Consideration

The value (monetary, goods, services, promise) that is given by both parties in a contract, making the agreement legally binding.

Liquidated Debt

A debt for which the exact monetary value has been determined and is acknowledged by all parties involved.

Unliquidated Debt

A debt or claim where the amount owed has not been determined or agreed upon by the debtor and creditor.