The cost to produce 10 shirts is 45 Tsh and the cost to produce 20 shirts is 80 Tsh. If the cost is linearly related to the output of shirts q. Find the fixed cost and the cost to produce 35 shirts.

Question

This question is tough

Comments

?????? 9_9 uhhhh.....?

Answer 1

The fixed cost is f so c, cost=f+aq where we have to find the constants f and a.

But we have some figures: when q=10, c=45 and when q=20, c=80. We can write:

45=f+10a and 80=f+20a. Subtract the two equations: 35=10a so a=35/10=3.5.

So we now have a and that means we can find f: 45=f+35 making f=10.

Also, 80=f+70 and, again, f=10 so the equation is c=10+3.5q.

When q=35 c=10+3.5*35=10+122.5=132.50 Tsh.