Question 1103618: At Taco town a taco contains 2oz.of ground beef and 1oz of chopped tomatoes. a burrito contains 1 oz of ground beef and 3 oz. of chopped tomatoes. near closing time the cook discovers that there have only 22oz of beef and 36 oz of tomotoes left. the manager directs the cook to use the avaiable resources to maximize their revenue for the remainder of the shift. if a taco sells for 40 cents and a burrito sells for 65 cents, then how many of each should they make to maximize their revenue.
Answer by ikleyn(52898)   (Show Source):
You can put this solution on YOUR website! .
At Taco town a taco contains 2 oz.of ground beef and 1 oz of chopped tomatoes. a burrito contains 1 oz of ground beef and 3 oz. of chopped
tomatoes. Near closing time the cook discovers that there have only 22 oz of beef and 36 oz of tomatoes left.
The manager directs the cook to use the available resources to maximize their revenue for the remainder of the shift.
If a taco sells for 40 cents and a burrito sells for 65 cents, then how many of each should they make to maximize their revenue.
~~~~~~~~~~~~~~~~~~
Let X = the number of tacos and
let Y = the number of burritos.
Then the revenue function (your objective function) is
Z = 40*X + 65*Y (in cents),
and your task is to maximize this function under these constraints:
2X + 1Y <= 22, (constraint on beef amount)
1X + 3y <= 36 (constraint on chopped tomatoes)
X >= 0, Y >= 0.
Thus the setup of the problem is just completed.
On how to solve such problems technically, read the lesson
- Solving minimax problems by the Linear Programming method
in this site. It was prepared specially for you.
Read it and learn on how to solve such problems once for all.
H a p p y l e a r n i n g ! !
|
|
|
