The HeadStart runs a day camp for 6- to 10- year olds during the summer. Its...

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The HeadStart runs a day camp for 6- to 10- year olds during thesummer. Its manager is trying to reduce the center's operatingcosts to avoid having to raise the tuition fee. The manager iscurrently planning what to feed the children for lunch. She wouldlike to keep costs to a minimum, but also wants to make sure she ismeeting the nutritional requirements of the children. She hasalready decided to go with peanut butter and jelly sandwiches, andsome combination of apples, milk, and/or cranberry juice. Thenutritional content of each food choice and its cost are given inthe table below:

BreadPeanut ButterJellyMilkJuice
(slice)(tbsp)(tbsp)Apples(cup)(cup)
Unit Cost$0.06$0.05$0.08$0.35$0.20$0.40
Nutritional Data
Calories from Fat158000600
Calories801007090120110
Vitamin C (mg)0046280
Fiber (g)4031001

The nutritional requirements are as follow. Each child shouldreceive between 300 and 500 calories, but no more than 30% of thesecalories should come from fat. Each child should receive at least60 milligrams (mg) of vitamin C and at least 10 grams (g) offiber.

To ensure tasty sandwiches, the manager wants each child to havea minimum of 2 slices of bread, 1 tablespoon (tbsp) of peanutbutter, and 1 tbsp of jelly, along with at least 1 cup of liquid(milk and/or cranberry juice).

The manager would like to select the food choices that wouldminimize cost while meeting all these requirements.

Formulate and solve a linear programming model for this problemon a spreadsheet.

a) How many ounces of each type of food are included in oneserving of the lunch? (Round to three decimals)

BreadPeanut ButterJellyApplesMilkJuice
(slice)(tbsp)(tbsp)(cup)(cup)
Diet (ounces)

b) How many calories from fat are in one serving of the lunch?(Round to three decimals)

c) What is the total cost per serving of the lunch? (Round totwo decimals) $

Answer & Explanation Solved by verified expert
3.7 Ratings (580 Votes)
Let A be the number of Bread slice served B be the quantity ofPeanut butter in tablespoons C be the quantity of Jelly intablespoons D be the number of Apples served E be the    See Answer
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