You would like to make a nutritious meal of eggs, edamame, and elbow macaroni

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You would like to make a nutritious meal of eggs, edamame, and elbow macaroni.

The meal should provide at least 40 g of carbohydrates, at least 20 g of protein, and no more than 50 g of fat. An egg
(one serving) contains 2 g of carbohydrates, 17 g of protein, and 14 g of fat. A serving of edamame contains 12 g of carbohydrates, 12 g of protein, and 6 g of fat. A serving of elbow macaroni contains 43 g of carbohydrates, 8 g of protein, and 1 g of fat.

An egg costs $2, a serving of edamame costs $ 5, and a serving of elbow macaroni costs $3.

Formulate a linear optimization model that could be used to determine the number of servings of egg, edamame, and elbow macaroni that should be in the meal in order to meet the nutrition requirements at minimal cost. 

USE SOLVER TO SOLVE FOR THE PROBLEM. PLEASE RUN THE ANSWER REPORT ALSO.