Solve this −14(z−5)=−14z+70

Mathematics

1 answer:

Bas_tet [7]3 years ago

6 0

Answer:

All real numbers are solutions.

Explanation:

−14(z − 5) = −14z + 70

[ Step 1: Simplify both sides of the equation ]

−14(z − 5) = −14z + 70

(−14)(z) + (−14)(−5) = −14z + 70 (Distribute)

−14z + 70 = −14z + 70

[ Step 2: Add 14z to both sides ]

−14z + 70 + 14z = −14z + 70 + 14z

70 = 70

[ Step 3: Subtract 70 from both sides ]

70 − 70 = 70 − 70

0 = 0

Therefore, all real numbers are solutions.

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Juli2301 [7.4K]

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