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gladu [14]
2 years ago
7

7. PRODUCTION A glass blower can form 8 simple vases or 2 elaborate vases in an hour. In a

Mathematics
1 answer:
JulsSmile [24]2 years ago
4 0

<u>Answer:</u>

a)x >= 4 , y

b)280 - 5 \times x

c) x = 4, y = 4  , $ 260

<u>Step-by-step explanation:</u>

a)Let, the glass bowler works for x hours on simple vases and y hours on elaborate vases.

According to the question,

y = 8 -x -----------(1)

Also, the glass blower has to make at least 40 vases in 8 hours.

So,  

8 \times x + 2 \times (8 - x)  >= 40

⇒ 6 \times x >= 24

⇒x >= 4 ---------(1)

⇒8 - x

⇒y----------(2)

b)Again profit of the glass blower, ( in $)

 = 30 \times x + 35 \times (8 - x)

= 280 - 5 \times x--------------(2)

which will be maximum when x is minimum which is 4 (from (1))

so y = 8 -x = 4

and the profit is,

(280 - 5 \times 4) (in $)

=$ 260

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