SOLUTION: A company manufactures both mountain bikes and trail bikes. The cost of materials for a mountain bike is $70, and the cost of materials for a trail bike is $40. The cost of labor t
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Question 1185984: A company manufactures both mountain bikes and trail bikes. The cost of materials for a mountain bike is $70, and the cost of materials for a trail bike is $40. The cost of labor to manufacture a mountain bike is $90, and the cost of labor to manufacture a trail bike is $40. During a week in which the company has budgeted $2,750 for materials and $3,250 for labor, how many mountain bikes does the company plan to manufacture?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A company manufactures both mountain bikes and trail bikes.
let m = no. of mountain bikes
let t = no. of trail bikes
:
The cost of materials for a mountain bike is $70, and the cost of materials for a trail bike is $40
The cost of labor to manufacture a mountain bike is $90, and the cost of labor to manufacture a trail bike is $40.
During a week in which the company has budgeted $2,750 for materials and $3,250 for labor, how many mountain bikes does the company plan to manufacture?
:
write the material eq and the labor eq, simplify each
70m + 40t = 2750
7m + 4t = 275
and
90m + 40t = 3250
9m + 4t = 325
:
Use elimination with these two simplified equations
9m + 4t = 325
7m + 4t = 275
----------------Subtraction eliminates t, find m
2m + 0 = 50
m = 50/2
m = 25 mountain bikes
:
find t
7(25) + 4t = 275
175 + 4t = 275
4t = 275 - 175
4t = 100
t = 100/4
t = 25 trail bikes
;
:
See if that checks out using the material eq
70(25) = 1750
40(25) = 1000
------------------ total mat cost
adds up to 2750
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