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26 Dec 2020

Angela wants to know how much she needs to sell her product in order to have a profit. The unit cost of making the product is . She then came up with a formula to determine her selling price at any cost which is unit cost plus of the unit cost. What type of function will Angelica produce from the formula that she came up with? 

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Calculus 1
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Classify functions
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Rozalliene Homigop
Rozalliene HomigopLv10
26 Dec 2020

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A manufacturer charges per unit for units that cost to produce. To encourage large orders from distributors, the manufacturer will reduce the price by per unit for orders in excess of units. (For example, an order of units would have a price of per unit, and an order of units would have a price of per unit.) This price reduction is discontinued when the price per unit drops to . 

a. Express the price per unit as a function of the order size . 

b. Express the profit as a function of the order size . 

  1. Mark has to figure out values for his business since he needs profits.



a. The regular selling price of a product is $109. The markup rate on selling price is 18% and the operating expenses are 4% on cost. If, during a sale, the product was discounted by 10%, calculate the profit or loss realized.

b. A company manufactures TVs and sells them for $1,122. The variable cost to manufacture each TV is $660. The fixed costs are $360,000 per month. The production capacity is 20,000 TVs per month. a. What is the break-even number of TVs per month? b. Calculate the break-even number of TVs as a percent to capacity. c. How many TVs must be sold, for the company to have a net income of $50,000?


c. If US$1 = C$1.2145, and if the bank in Canada charges 1.5% commission to buy or sell currencies, how many CAD will you receive if you sell US$4,000?



d. The cost of a pump is $1,200. The overhead expenses are 9% of the cost the required profit is 12% of the selling price. Calculate the selling price of the pump.
e. If you sell products for $40 per unit, which have variable costs of $25 per unit, what fixed costs can ensure that you will break even by selling 1,000 units?

  1. Mark needs to know certain values for his business.


a. Omega Industries reported that their markup rate on cost was 23%. However, you would like to know their markup rate on selling price. Do you have sufficient information to calculate it? If yes, calculate it.








b. What is a single rate of discount which is equivalent to a series of three discounts of 5%, 10%, 15%?









c. The regular selling price of a product is $229. The overhead expenses are 8% of the cost and the required profit is 11% of the cost. Calculate the cost of the product.








d. A TV at Alpha Electronics was sold for $1560, less 5%, 10%. The same TV was sold at Betta Electronics for $1,200. What further discount must Alpha Electronics offer to match the price of Betta Electronics?









e. Stratus Inc. purchased equipment for $18,500 and received an invoice with terms 4/10, 3/30, n/45. If Stratus Inc. decided to pay the full price on the 15th day of the invoice date, how much must it pay?

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