Question

Please help! problem below!

Answer 1

A glass blower can form 8 simple vases or 2 elaborate vases in an hour. In a work shift of no more than 8 hours, the worker must form at least 40 vases. The glass blower makes $30 per hour worked on the simple vases and $35 per hour worked on the elaborate vases.

Find the number of hours the worker should spend on each type of vase to maximize profit. What is that profit?

Answer 2

@jdoe0001 @zepdrix @Luigi0210

Answer 3

@ParthKohli

Answer 4

@undeadknight26 @Whitemonsterbunny17

Answer 5

Let x be the number of hours worked on the simple vase and y be the number of hours worked on the elaborate vase.
x + y = 8
8x + 2y >= 40
Profit = 30x + 35y.
Graph the first two lines (an equality and an inequality).
Pick a point on x + y = 8 that will maximize profit.

Answer 6

Pick a point on x + y = 8 that will maximize profit and satisfy the second constraint.

Answer 7

this is so confusing

Answer 8

like i still dont know how to get this

Answer 9

@mathmale @iambatman @uri

Answer 10

@Abhisar @paki @iPwnBunnies

Answer 11

http://prntscr.com/3wuj06

Answer 12

If you look at the constraints, there are only 5 possibilities with whole number of hours:
x y
4 4
5 3
6 2
7 1
8 0

See which point maximizes 30x + 35y.

Answer 13

The problem does not say the hours have to be integers, but if you add a third column called Profit to the above table you can see the trend.

Answer 14

i just guessed. cause all this is like chinese to me. but thanks for trying