You are trying to create a budget to optimize the use of a portion of your disposable income. You have a maximum of $1,5

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You are trying to create a budget to optimize the use of aportion of your disposable income. You have a maximum of $1,500 permonth to be allocated to food, shelter, and entertainment. Theamount spent on food and shelter alone must not exceed $800.Entertainment cannot exceed $1,100. The amount spent on shelteralone must not exceed $800. Entertainment cannot exceed $400 permonth. Each dollar spent on food has a satisfaction value of 2,each dollar spent on shelter has a satisfaction value of 3, andeach dollar spent on entertainment has a satisfaction value of5
1. Write the objective function and constraints for thisproblem
2. Assuming a linear relationship, use the Excel solver todetermine the optimal allocation of your funds
3. Report the maximum value of the objective function