Question

a) Some vessels are manufactured in a day in a small
industry. On a particular day it is observed that
the cost of manufacturing each item was 3 more
than twice the number of vessels manufactured
on that day. If the total manufacturing cost on that
day was ₹90, then find the number of
manufactured vessels and manufacturing cost of
each item.​

Answer 1

Step-by-step explanation:

you must study quadratic equations to understand this sum

Answer 2

The number of manufactured vessels is 6, and the cost of each is Rs 15.

Step-by-step explanation:

Given,

The total cost of manufacture= Rs.90

Let the number of vessels manufactured be Y.

Hence, cost of production of each vessel= Rs (2Y + 3)      

According to the question,

$90= Y(2Y+ 3) = 0\\2Y^{2}+3Y-90=0\\2Y^{2}+15Y+12Y-90=0\\Y(2Y+15)-6(2Y+15)=0\\(2Y+15)(Y-6)=0$

Now,

$2Y+15=0\\2Y=-15Y=-15/2\\Y-6 = 0\\Y=6\\Y= -15/2\, or\,Y=6$

Hence, number of vessels manufactured = 6

$\therefore$Cost of each vessel$= 2*6+3=Rs15$

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