Joe is an active 26-year-old male who lifts weights six days a week. He is looking to minimize the cost of consuming his favorite foods. Joe is trying to gain weight, or at least maintain his current body weight, so he is not concerned about calories. His personal trainer suggests at least

300

grams of protein,

95

grams of fat,

225

grams of carbohydrates, and no more than

110

grams of sodium per day. His favorite foods are all items that he is familiar with preparing, as shown in the accompanying data table. He is willing to consume multiple servings of each food per day to meet his requirements, although he cannot eat more than one steak per day and does not want to eat more than three pulled pork sandwiches a day. He needs to consume at least two servings of broccoli and one serving of carrots per day but is willing to eat two servings of carrots if necessary. Joe likes a certain brand of nutrition bars, but he would not eat more than one. Unless previously noted, he does not want more than five servings of any one food. How many servings of each food should he have in an optimal daily diet?

Find the optimal integer solution and enter the number of servings for each food below. This solution gives the

maximum

minimum

cost, which is

$enter your response here.

Chicken

breast=enter your response here,

Steak=enter your response here,

Pulled pork

sandwich=enter your response here,

Salmon

filet=enter your response here,

Rolled

oats=enter your response here,

Baked

potato=enter your response here,

Nutrition

bar=enter your response here,

Serving of

broccoli=enter your response here,

Serving of

carrots=enter your response here

(Type integers or decimals. Do not round

Food	Protein (grams)	Fat (grams)	Carbohydrates (grams)	Sodium (grams)	Cost per serving	Max Servings
Chicken breast	42	9	2	6	4.99	5
Steak	48	17	3	11	8.99	1
Pulled pork sandwich	28	17	27	19	3.99	3
Salmon filet	41	14.5	1	5	5.15	5
Rolled oats	9	1	27	9	0.8	5
Baked potato	5	0	34	18	1.5	5
Nutrition bar	18	19	17	3	3	1
Serving of broccoli	2	0	6	2	0.5	5
Serving of carrots	1	1	7	2	0.5	2