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A manufacturer makes two products, product Q and product M. The cost of making 15 units of product Q and 10 units of product M is sh...

A manufacturer makes two products, product Q and product M. The cost of making 15 units of product Q and 10 units of product M is sh 600. The cost of making 5 units of product Q and 8 units
of product M is sh 340. Determine the cost of making each product.

Answers

joshua
Adding 15Q and 10M is 600, while adding 5Q and 8M is 340
:- 15Q + 10M = 600 .................(i)
5Q + 8M = 340 ..................(ii)
to simplify the equations, we can multiply across equation (ii) by three to have:
(3x5Q) + (3x8M) = 340x3
= 15Q + 24M = 1020 .................(iii)
comparing equations (i) and (iii),
iii - 15Q + 24M = 1020
ii - 15Q + 10M = 600
subtracting equation (i) from equation (iii) we get:
0 + 14M = 420
dividing through by 14, we get:
M = 30
Now, on equation (ii), we can substitute M=30, to have:
5Q + 8(30) = 340
=5Q + 240 = 340
we can collect the whole numbers on one side of the equation, that is transfering 240 across the equal sign and changing its arithmetic sign, to have:
5Q = 340 - 240
= 5Q = 100
Dividing across by 5, we get:
Q = 20,
thus, the value of the commodities Q and M is as:
Q = 20 and
M = 30

Eng melau answered the question on August 14, 2018 at 13:06

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