Question: Formulate and solve the following linear program: You are trying to create a budget to optimize the use of a portion of your disposable income.

Formulate and solve the following linear program: You are trying to create a budget to optimize the use of a portion of your disposable income. You have a maximum of $1,500 per month to be allocated to food, shelter, and entertainment. The amount spent on food and shelter combined must not exceed $1,100. The amount spent on shelter alone must not exceed $800. Entertainment cannot exceed $400 per month. Each dollar spent on food has a satisfaction value of 2, each dollar spent on shelter has a satisfaction value of 3, and each dollar spent on entertainment has a satisfaction value of 5.

a. Write the Objective Function and Constraints for this problem. b. Assuming a linear relationship, use the Excel Solver to determine the optimal allocation of your funds. c. Report the maximum value of the Objective function.

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