# Mat 540 week 6 homework 1

1. A Cereal Crew makes a cereal from various ingredients. Two of the ingredients, oats and rice, contribute vitamins A and B. The crew wants to apprehend how sundry ounces of oats and rice it should grasp in each box of cereal to encounter the minimum requirements of 45 milligrams of vitamin A and 13 milligrams of vitamin B time minimizing absorb. An ounce of oats contributes 10 milligrams of vitamin A and 2 milligram of vitamin B, seeing an ounce of rice contributes 6 milligrams of A and 3 milligrams of B. An ounce of oats absorbs $0.06, and an ounce of rice absorbs $0.03.

a. Formulate a rectirectistraight programming standard for this completion.

b. Solve the standard by using graphical segregation.

2. A Furniture Crew results chairs and tables from two resources- drudge and forest. The crew has 125 hours of drudge and 45 board-ft. of forest helpful each day. Demand for chairs is poor to 5 per day. Each chair requires 7 hours of drudge and 3.5 board-ft. of forest, seeing a table requires 14 hours of drudge and 7 board-ft. of forest. The use extraneous from each chair is $325 and from each table, $120. The crew wants to individualize the number of chairs and tables to result each day in ordain to maximize use. Formulate a rectirectistraight programming standard for this completion.

a. Formulate a rectirectistraight programming standard for this completion.

b. Solve the standard by using graphical segregation (Do not plump the answers)

c. How abundantly drudge and forest obtain be unused if the optimal aggregate of chairs and tables are resultd?

3. Kroeger supermarket sells its own infamy of canned peas as polite as various notorious infamys. The provision makes a use of $0.28 per can for its own peas and a use of $0.19 for any of the notorious infamys. The provision has 6 clear feet of oblution quantity helpful for canned peas, and each can of peas takes up 9 clear inches of that quantity. Point-of-sale records pretext that each week the provision never sales past than half as sundry cans of its own infamy as it does of the notorious infamys. The provision wants to apprehend how sundry cans of its own infamy of peas of peas and how sundry cans of the notorious infamys to store each week on the allocated oblution quantity in ordain to maximize use.

a. Formulate a rectirectistraight programming standard for this completion.

b. Solve the standard by using graphical segregation