A company manufactures a certain number of winter clothes daily. It was observed that on a particular day the cost of production on each cloth is 15 more than thrice the number of clothes produced on that day. Next week they are planning to double the production capacity to meet the high demand of winter clothes.
a) What is the total cost of production for week 1 if daily number of clothes are x being manufactured?
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1
Answer:
Total production cost =x(3+2x)=90
3x+2x
2
=90
2x
2
+3x−90=0
2x
2
+15x−12x−90=0
2x(x−6)+15(x−6)=0
(2x+15)(x−6)=0
x=6,−
2
15
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