profit

  1. math_celebrity

    A school spent $150 on advertising for a breakfast fundraiser. Each plate of food was sold for $8.00

    A school spent $150 on advertising for a breakfast fundraiser. Each plate of food was sold for $8.00 but cost the school $2.00 to prepare. After all expenses were paid, the school raised $2,400 at the fundraiser. Which equation can be used to find x, the number of plates that were sold? Set up...
  2. math_celebrity

    Mary owns a store that sells computers. Her profit in dollars is represented by the function P(x) =

    Mary owns a store that sells computers. Her profit in dollars is represented by the function P(x) = x^3 - 22x^2 - 240x, where x is the number of computers sold. Mary hopes to make a profit of at least $10,000 by the time she sells 36 computers. Explain whether Mary will meet her goal. Justify...
  3. math_celebrity

    Your profit for mowing lawns this week is $24. You are paid $8 per hour and you paid $40 for gas for

    Your profit for mowing lawns this week is $24. You are paid $8 per hour and you paid $40 for gas for the lawn mower. How many hours did you work this week? We know profit from the equation below: Revenue - Cost = Profit We're given Profit as 42, so we have: Revenue - Cost = 42 Let hours...
  4. math_celebrity

    A shopkeeper buys a box of 20 cans of cola for $10. He sells the cans for 65 cents each. Work out hi

    A shopkeeper buys a box of 20 cans of cola for $10. He sells the cans for 65 cents each. Work out his percentage profit. Calculate Revenue Revenue = Sale price per can * number of cans Revenue = 0.65 * 20 Revenue = 13 Calculate Profit given a cost of $10: Profit = Revenue - Cost Profit = 13 -...
  5. math_celebrity

    Julia spends $1.75 on gas for her lawn mower. She earns $16.00 mowing her neighbor's yard. What is J

    Julia spends $1.75 on gas for her lawn mower. She earns $16.00 mowing her neighbor's yard. What is Julia's profit? Profit = Revenue - Cost Profit = 16.00 - 1.75 Profit = $14.25
  6. math_celebrity

    Belle bought 30 pencils for $1560. She made a profit of $180. How much profit did she make on each p

    Belle bought 30 pencils for $1560. She made a profit of $180. How much profit did she make on each pencil The cost per pencil is: 1560/30 = 52 Build revenue function: Revenue = Number of Pencils * Sales Price (s) Revenue = 30s The profit equation is: Profit = Revenue - Cost Given profit is...
  7. math_celebrity

    A company has a fixed cost of $26,000 / month when it is producing printed tapestries. Each item tha

    A company has a fixed cost of $26,000 / month when it is producing printed tapestries. Each item that it makes has its own cost of $34. One month the company filled an order for 2400 of its tapestries, selling each item for $63. How much profit was generated by the order? Set up Cost function...
  8. math_celebrity

    Emily buys a car for 9000 sells it for 12000. Whats the profit?

    Emily buys a car for 9000 sells it for 12000. Whats the profit? Profit = Sale Price - Purchase Price Profit = 12,000 - 9,000 Profit = 3,000
  9. math_celebrity

    A manufacturer has a monthly fixed cost of $100,000 and a production cost of $14 for each unit produ

    A manufacturer has a monthly fixed cost of $100,000 and a production cost of $14 for each unit produced. The product sells for $20/unit. Let u be the number of units. We have a cost function C(u) as: C(u) = Variable cost * u + Fixed Cost C(u) = 14u + 100000 We have a revenue function R(u) with...
  10. math_celebrity

    Isabel is making face mask. She spends $50 on supplies and plans on selling them for $4 per mask. Ho

    Isabel is making face mask. She spends $50 on supplies and plans on selling them for $4 per mask. How many mask does have to make in order to make a profit equal to $90? Set up the cost function C(m) where m is the number of masks: C(m) = supply cost C(m) = 50 Set up the cost function R(m)...
  11. math_celebrity

    John bought a painting for $600 and sold it for $648. Find the profit as a percentage of the cost.

    John bought a painting for $600 and sold it for $648. Find the profit as a percentage of the cost. Calculate the profit: Profit = Sale Price - Purchase price Profit = 648 - 600 Profit = 48 Calculate Profit percentage of cost = Profit percentage of cost = 100% * Profit/cost Profit percentage of...
  12. math_celebrity

    A baker determined the annual profit in dollars from selling pies using p(n ) = 52n - 0.05n^2, where

    A baker determined the annual profit in dollars from selling pies using p(n ) = 52n - 0.05n^2, where n is the number of pies sold. What is the annual profit if the baker sells 700 pies? p(700) = 52(700) - 0.05(700)^2 p(700) = 36400 - 0.05 * 490000 p(700) = 36400 - 24500 p(700) = 11900
  13. math_celebrity

    A pretzel factory has daily fixed costs of $1100. In addition, it costs 70 cents to produce each bag

    A pretzel factory has daily fixed costs of $1100. In addition, it costs 70 cents to produce each bag of pretzels. A bag of pretzels sells for $1.80. Build the cost function C(b) where b is the number of bags of pretzels: C(b) = Cost per bag * b + Fixed Costs C(b) = 0.70b + 1100 Build the...
  14. math_celebrity

    A baker determined the annual profit in dollars from selling pies using p(n) = 52n - 0.05n^2 , where

    A baker determined the annual profit in dollars from selling pies using p(n) = 52n - 0.05n^2 , where n is the number of pies sold. What is the annual profit if the baker sells 400 pies? p(400) = 52(400) - 0.05(400)^2 p(400) = 20800 - 0.05(160000) p(400) = 20800 - 8000 p(400) = 12800
  15. math_celebrity

    Susan makes and sells purses. The purses cost her $15 each to make, and she sells them for $30 each.

    Susan makes and sells purses. The purses cost her $15 each to make, and she sells them for $30 each. This Saturday, she is renting a booth at a craft fair for $50. Write an equation that can be used to find the number of purses Susan must sell to make a profit of $295 Set up the cost function...
  16. math_celebrity

    A corn refining company produces corn gluten cattle feed at a variable cost of $84 per ton. If fixe

    A corn refining company produces corn gluten cattle feed at a variable cost of $84 per ton. If fixed costs are $110,000 per month and the feed sells for $132 per ton, how many tons should be sold each month to have a monthly profit of $560,000? Set up the cost function C(t) where t is the...
  17. math_celebrity

    A company is planning to manufacture a certain product. The fixed costs will be $474778 and it will

    A company is planning to manufacture a certain product. The fixed costs will be $474778 and it will cost $293 to produce each product. Each will be sold for $820. Find a linear function for the profit, P , in terms of units sold, x . Set up the cost function C(x): C(x) = Cost per product * x +...
  18. math_celebrity

    A watch was bought for $250 and sold for $375. What was the profit on the sale of the watch?

    A watch was bought for $250 and sold for $375. What was the profit on the sale of the watch? Profit = Revenue (Sales) - Cost Profit = $375 - $250 Profit = $125
  19. math_celebrity

    A man bought a mobile phone for $800 and sold it for $1000. What was his profit as a percentage of t

    A man bought a mobile phone for $800 and sold it for $1000. What was his profit as a percentage of the cost price Calculate Profit: Profit = Sales Price - Cost Profit = 1000 - 800 Profit = 200 Calculate profit percentage: Profit Percentage = Profit * 100 / Cost Profit Percentage = 800 * 100 /...
  20. math_celebrity

    a company has revenue given by R(x)=500x dollars and total cost given by C(x)=48,000 100x dollars, w

    a company has revenue given by R(x)=500x dollars and total cost given by C(x)=48,000 + 100x dollars, where x is the number of units produced and sold. How many units will give a profit Profit P(x) is given by: R(x) - C(x) So we have: P(x) = 500x - (100x + 48,000) P(x) = 500x - 100x - 48,000...
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