sLinear Programming Practice.pdt (page 1 of 2) Q Search Linear Programming Pract
ID: 382602 • Letter: S
Question
sLinear Programming Practice.pdt (page 1 of 2) Q Search Linear Programming Practice Test 1. From the following linear program, write a business problem to which it corresponds: Max 5a 6b 7c Subject to 2bSc-250 3a+4b+2c300 2a+2b+20150 a,b,c0 a,b,c integer n 2. Apple pies sell for $1 apiece, Banana pies sell for $2 apiece, and Cherry pies sell for $3 apiece. Each Apple pie requires 1 unit of ingredient X, 3 units of ingredient Y, and 2 units of ingredient Z. Each Banana pie requires 2 units of ingredient X, 3 units of ingredient Y and 1 unit of ingredient Z. Each Cherry pie requires 3 units of ingredient x, 4 units of ingredient Y, and 2 units of ingredient Z. There are only 100 units of ingredient X, 150 units of ingredient Y, and 125 units of ingredient Zz o What is the objective function for the revenue? o What are the functions for the ingredient constraints? Are there any other constraints? 3. A firm produces two products, A and 8. Both products require time in two processing departments, assembly and finishing. It takes 4 hours for product A to be assembled and 2 hours for product A for the finishing touches. And it takes 2 hours for product 8 to be assembled and 3 hours for product B for the finishing touches. The assembly department only has 250 hours to dedicate and the finishing touches department only has 175 hours to dedicate to this. Also, each unit of product A sells for $50 and each unit of productB sells for $4S. What is the linear program to solve this? 4 Using the matrix below, answer the following questions 80 3 5 8 0 WE RExplanation / Answer
A company manufactures three types of cakes. Cake a yields a profit of $5, cake b, $6 and cake c, $7. There are some other constraints.
1. The baking charges for each cake a,b,c are $2 each irrespective of size. Total baking charge should not exceed $150.
2. Transportation charges for cakes a, b and c are $1, $2 and $5 respectively, with total transportation charges should not exceed $250.
3. The container size for storing the cakes has a volume of 300cm3, while the individual units a, b and c occupy 3.4 and 2 cm3 volume respectively.
4. Collective Quantity of b and c should be more than a.
Objective is to maximize the profit.
Ans 2: Suppose the apple pie is named as a, banana pie as b and cherry pie as c.
Objective function: Max[ a+2b+3c]
Constraints:
a+2b+3c <=100,
3a+3b+4c <=150,
2a+b+2c <=125.
a, b, c >0 and a, b,c are integers.
Ans 3:
O.F. : Maximize ( 50x+45y)
such that
4x+2y<=250, and 2x+3y<=175,
x>0 and y>0, x and y are integers.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.