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Analyzing the Profitability of Leasing a Booth for Food Sales at a Sports Event: A Linear Programming Approach

This paper uses linear programming to assess the profitability of leasing a booth for food sales at a sports event.

Leo Campbell
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Assignment3:Julia’s Food BoothCase Problem1Analyzing the Profitability of Leasing a Booth for Food Sales at a SportsEvent: A Linear Programming ApproachA. Formulate and solve a linear programming model for Julia that will help you to adviseher if she should lease the booth.ByFormulatingthe model for the first home game,theprofitfunction and constraints andcalculationsis broken down to theequations.Let,X1 =No of pizza slices,X2 =No of hot dogs,X3 = barbeque sandwichesFormulation:1. Calculating Objective function co-efficient:The objective is to Maximize total profit. Profit is calculated for each variable by subtracting cost fromthe selling price.•For Pizza slice, Cost/slice=$6/8=$0.75X1X2X3SP$1.50$1.50$2.25-Cost$0.75$0.45$0.90Profit$0.75$1.05$1.35•Total space available=3*4*16=192 sq feet=192*12*12=27,648 in-squareThe oven will be refilled during half time.Thus, the total space available=2*27,648= 55,296 in-square•Space required for a pizza=14*14=196 in-squareSpace required for a slice of pizza=196/8=24 in-square approximately.

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