PLEASE HELP! I JUST NEED SOMEONE TO GRAPH MY ANSWER! I HAVE THE ANSWER, JUST NEED THE GRAPH!

Bob decides he wants to make guitars and sell them online. He makes and sells Gibson Explorer’s and Gibson Flying V’s. He can make up to 30 guitars per week, but he can only make up to 20 Gibson Explorer’s and 20 Gibson Flying V’s. Write and graph a system of inequalities that shows the combination of Gibson Explorer electric guitars and Gibson Flying V electric guitars that he can make if he wants to sell at least 30 guitars per week. If Gibson Explorers sell for $80 each and Gibson Flying Vs sell for $5 each, what is the most money he can make in a week? Explain.

Solved: E = Explorers V = Flying Vs M = Money

e + v ≥ 30

80e + 5v = m

e ≤ or = 20
v ≤ or = 20

The most money he could make would be if he made 20 explorers at 80 dollars and 10 vs at 5 dollars.

1600 + 50 = 1650.
He could make $1650.

PLEASE GRAPH THIS! I NEED HELP TO GRAPH IT!

Question

24-01-2018
Mathematics

contestada

PLEASE HELP! I JUST NEED SOMEONE TO GRAPH MY ANSWER! I HAVE THE ANSWER, JUST NEED THE GRAPH!

Bob decides he wants to make guitars and sell them online. He makes and sells Gibson Explorer’s and Gibson Flying V’s. He can make up to 30 guitars per week, but he can only make up to 20 Gibson Explorer’s and 20 Gibson Flying V’s. Write and graph a system of inequalities that shows the combination of Gibson Explorer electric guitars and Gibson Flying V electric guitars that he can make if he wants to sell at least 30 guitars per week. If Gibson Explorers sell for $80 each and Gibson Flying Vs sell for $5 each, what is the most money he can make in a week? Explain.

Solved: E = Explorers V = Flying Vs M = Money

e + v ≥ 30

80e + 5v = m

e ≤ or = 20
v ≤ or = 20

The most money he could make would be if he made 20 explorers at 80 dollars and 10 vs at 5 dollars.

1600 + 50 = 1650.
He could make $1650.

PLEASE GRAPH THIS! I NEED HELP TO GRAPH IT!

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Аноним Аноним · Answer 1 · 2018-01-24T07:11:26+01:00

Let
e = Gibson Explorer’s = 20
v = Gibson Flying V’s

So, our problem is

Maximize
Money = 80e + 5v

Subject to
0 ≤ e ≤ 20
0 ≤ v ≤ 20
0 ≤ e + v ≤ 30

In order to solve this problem, we look at the graph (attached), and find the value of Money =80e + 5v at corner points to find the maximum value of money.

(e,v)=(0,0) >> Money = 80e+5v = 80*0+5*0 = 0
(e,v)=(0,20) >> Money = 80e+5v = 80*0+5*20 = 100
(e,v)=(20,0) >> Money = 80e+5v = 80*20+5*0 = 1600
(e,v)=(20,10) >> Money = 80e+5v = 80*20+5*10 = 1650 (maximum)
(e,v)=(10,20) >> Money = 80e+5v = 80*10+5*20 = 900

So Bob can make the most money = $1,650 when he makes and sell
e = Gibson Explorer’s = 20
v = Gibson Flying V’s = 10