Reference no: EM133716756

Question: You bake cookies and cupcakes in your bakeryYou sell cookies for $1.79, and cupcakes for $2.99 Material cost for each item is 20% of the selling price In terms of labor, there are two steps: prepare the dough, and shape the item Below is the time (in hours) it takes at each step for each item: Prepare dough Shape item Cookie 1/20 Cupcake 1/6 You pay your baker $8.50 per hour, who works 40 hours per week You want the cookies to represent at least 40% of total production Formulate the linear programming model that will allow you to determine how many cookies and cupcakes you should prepare for a given week to maximize profits Noteassume we sell everything we produce) Note 2: define the decision variables in plain English, then write down the equation for the objective function and the equations for the constraints Also show your intermediary calculations for the profit calculations