Question: # 1. formulate the following problem as a linear program but do not solve. My diet requires that all the food i eat come from

# 1. formulate the following problem as a linear program but do not solve.

My diet requires that all the food i eat come from one of the four "basic food group" ( chocolate cake, ice cream, soda, and cheese cake). At present , the following four foods are available for consumption: brownies, chocolate ice cream, cola, and pineapple cheesecake. Each brownie costs 50c, each scoop of chocolate ice cream costs 20c , each bottle of cola costs 30c , and each piece of pineapple cheesecake costs 80c.Each day i must ingest at least 500 calories , 6oz of chocolate, 10oz of sugar , and 8oz of fat. The nutritional content per unit of each food is shown in the following table .

formulate a linear programming model that can be used to satisfy my daily nutritional requirements at minimum cost

Type of food	Calories	chocolate(ounces)	sugar(ounces)	fat (ounces)
Brownie	400	3	2	2
chocolate ice cream(1 scoop)	200	2	2	4
cola (1 bottle)	150	0	4	1
pine cheesecake (1 piece)	500	0	4	5

there are three model that are presented in the text book i.e Allocation models , Covering models and Blending models

source; chapter 9 of business Analytics the art of modeling with spreadsheet / fifth edition

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