profit

  1. math_celebrity

    A bicycle store costs $1500 per month to operate. The store pays an average of $60 per bike. The ave

    A bicycle store costs $1500 per month to operate. The store pays an average of $60 per bike. The average selling price of each bicycle is $80. How many bicycles must the store sell each month to break even? Profit = Revenue - Cost Let the number of bikes be b. Revenue = 80b Cost = 60b + 1500...
  2. math_celebrity

    Gabe rents a piano for $49 per month. He earns $15 per hour giving piano lessons to students. How ma

    Gabe rents a piano for $49 per month. He earns $15 per hour giving piano lessons to students. How many hours of lessons per month must he give to earn a profit of $326? Build a profit function P(h) where h is the number of hours: P(h) = Hourly Rate * Number of Hours (h) - Cost of Piano P(h) =...
  3. math_celebrity

    a company made a profit of $4 million per month for 8 months, then lost $10 million per month for 4

    a company made a profit of $4 million per month for 8 months, then lost $10 million per month for 4 months. What was their result for the year? Profits = 4 million per month * 8 months = 32,000,000 Losses = 10 million per month * 4 months = 40,000,000 Calculate results for the year: Result for...
  4. math_celebrity

    A bicycle store costs $2750 per month to operate. The store pays an average of $45 per bike. The a

    A bicycle store costs $2750 per month to operate. The store pays an average of $45 per bike. The average selling price of each bicycle is $95. How many bicycles must the store sell each month to break even? Let the number of bikes be b. Set up our cost function, where it costs $45 per bike to...
  5. math_celebrity

    A person paid $60 for a vase at an estate auction. She resold it to an antiques dealer for $50. What

    A person paid $60 for a vase at an estate auction. She resold it to an antiques dealer for $50. What was her profit or loss She lost, since the sale price was less than the purchase price. The loss is calculated as: 50 - 60 = -$10
  6. math_celebrity

    The polynomial function P(x) = 75x - 87,000 models the relationship between the number of computer

    The polynomial function P(x) = 75x - 87,000 models the relationship between the number of computer briefcases x that a company sells and the profit the company makes, P(x). Find P (4000), the profit from selling 4000 computer briefcases. Plug in 4,000 for x: P(4000) = 75(4000) - 87,000 P(4000)...
  7. math_celebrity

    Karmen just got hired to work at Walmart. She spent $15 on her new uniform and she gets paid $8 per

    Karmen just got hired to work at Walmart. She spent $15 on her new uniform and she gets paid $8 per hour. Write an equation that represents how much money she profits after working for a certain number of hours. How many hours will she have to work for in order to buy a new snowboard ( which...
  8. math_celebrity

    A company that manufactures lamps has a fixed monthly cost of $1800. It costs $90 to produce each l

    A company that manufactures lamps has a fixed monthly cost of $1800. It costs $90 to produce each lamp, and the selling price is $150 per lamp. Set up the Cost Equation C(l) where l is the price of each lamp: C(l) = Variable Cost x l + Fixed Cost C(l) = 90l + 1800 Determine the revenue...
  9. math_celebrity

    Jay earns S amount per day for working in a company. His total expenses per day is equal to the amou

    Jay earns S amount per day for working in a company. His total expenses per day is equal to the amount E. Write an expression to show how much he earned per day in a month. Suppose he is working for 20 days per month. Each day, Jay earns a profit of S - E. For one month (30 days), he earns...
  10. math_celebrity

    Fixed cost 500 marginal cost 8 item sells for 30

    fixed cost 500 marginal cost 8 item sells for 30. Set up Cost Function C(x) where x is the number of items sold: C(x) = Marginal Cost * x + Fixed Cost C(x) = 8x + 500 Set up Revenue Function R(x) where x is the number of items sold: R(x) = Revenue per item * items sold R(x) = 30x Set up break...
  11. math_celebrity

    Last week at the business where you work, you sold 120 items. The business paid $1 per item and sol

    Last week at the business where you work, you sold 120 items. The business paid $1 per item and sold them for $3 each. What profit did the business make from selling the 120 items? Let n be the number of items. We have the following equations: Cost Function C(n) = n For n = 120, we have...
  12. math_celebrity

    A book publishing company has fixed costs of $180,000 and a variable cost of $25 per book. The books

    A book publishing company has fixed costs of $180,000 and a variable cost of $25 per book. The books they make sell for $40 each. Set up Cost Function C(b) where b is the number of books: C(b) = Fixed Cost + Variable Cost x Number of Units C(b) = 180,000 + 25(b) Set up Revenue Function R(b)...
  13. math_celebrity

    The revenue for selling x candles is given by f(x)=12x. The teams profit is $40 less than 80% of the

    The revenue for selling x candles is given by f(x)=12x. The teams profit is $40 less than 80% of the revenue of selling x candles. write a function g to model the profit. Profit = Revenue - Cost We are given the revenue function f(x) = 12x. We are told the profit is 0.8(Revenue) - 40. Our...
  14. math_celebrity

    A manufacturer has a monthly fixed cost of $52,500 and a production cost of $8 for each unit produce

    A manufacturer has a monthly fixed cost of $52,500 and a production cost of $8 for each unit produced. The product sells for $13/unit. Using our cost-revenue-profit calculator, we get the following: P(x) = 55x - 2,500 P(20,000) = 47,500 P(50,000) = 197,500
  15. math_celebrity

    Jazmin is a hairdresser who rents a station in a salon for daily fee. The amount of money (m) Jazmin

    Jazmin is a hairdresser who rents a station in a salon for daily fee. The amount of money (m) Jazmin makes from any number of haircuts (n) a day is described by the linear function m = 45n - 30 A) A haircut costs $30, and the station rent is $45 B) A haircut costs $45, and the station rent is...
  16. math_celebrity

    T-shirts sell for $19.97 and cost $14.02 to produce. Which equation represents p, the profit, in ter

    T-shirts sell for $19.97 and cost $14.02 to produce. Which equation represents p, the profit, in terms of x, the number of t-shirts sold? A) p = $19.97x - $14.02 B) p = x($19.97 - $14.02) C) p = $19.97 + $14.02x D) p = x($19.97 + $14.02) B) p = x($19.97 - $14.02) Profit is Revenue - Cost...
  17. math_celebrity

    Jennifer spent $11.25 on ingredients for cookies shes making for the school bake sale. How many cook

    Jennifer spent $11.25 on ingredients for cookies shes making for the school bake sale. How many cookies must she sale at $0.35 apiece to make profit? Let x be the number of cookies she makes. To break even, she must sell: 0.35x = 11.25 Use our equation calculator, and we get: x = 32.14 This...
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