Question

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

Answer 1

Answer:

a)$x >= 4$ , $y$

b)$280 - 5 \times x$

c) x = 4, y = 4  , $ 260

Step-by-step explanation:

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