Problem 6 Your company is in the process of adding a new line for making a new product. The fixed cost for this new line is $21,000 and the variable cost is $50 for each unit. The unit sales price is expected to decrease with an increase in the number sold so that if you sell x units, each unit will sell for a price of p= (-$0.50)(x)+$300. For example if we make and sell only ten part it will cost $21,500 and will sell for a total of $2950 and the company loses $18,550. Showing all your work, determine: a. The minimum and maximum number of parts to break even: Total Revenue = Total Cost.

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Problem 6
Your company is in the process of adding a new line for making a new product. The
fixed cost for this new line is $21,000 and the variable cost is $50 for each unit. The unit
sales price is expected to decrease with an increase in the number sold so that if you
sell x units, each unit will sell for a price of
p=(-$0.50)(x)+$300.
For example if we make and sell only ten part it will cost $21,500 and will sell for a total
of $2950 and the company loses $18,550. Showing all your work, determine:
a. The minimum and maximum number of parts to break even:
Total Revenue = Total Cost.
I
b. The number of parts the company should make to gain the maximum possible
possible profit, and the amount of this maximum profit.
c. The profit to be made if your company plans to maximize the revenue received
from the sales of this product.
Transcribed Image Text:Problem 6 Your company is in the process of adding a new line for making a new product. The fixed cost for this new line is $21,000 and the variable cost is $50 for each unit. The unit sales price is expected to decrease with an increase in the number sold so that if you sell x units, each unit will sell for a price of p=(-$0.50)(x)+$300. For example if we make and sell only ten part it will cost $21,500 and will sell for a total of $2950 and the company loses $18,550. Showing all your work, determine: a. The minimum and maximum number of parts to break even: Total Revenue = Total Cost. I b. The number of parts the company should make to gain the maximum possible possible profit, and the amount of this maximum profit. c. The profit to be made if your company plans to maximize the revenue received from the sales of this product.
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