math

posted by .

Phillip, the proprietor of a vineyard, estimates that the first 9600 bottles of wine produced this season will fetch a profit of $5 per bottle. However, the profit from each bottle beyond 9600 drops by $0.0002 for each additional bottle sold. Assuming at least 9600 bottles of wine are produced and sold, what is the maximum profit? (Round your answer correct to the nearest cent.)

$ ?

What would be the profit/bottle in this case? (Round the number of bottles down to the nearest whole bottle. Round your answer correct to the nearest cent.)

$ ?

  • math -

    well it'll be about 25 bottles sold before the profit changes; 5.00 will become approximately 4.99 after 25 bottles sold (0.005 rounds off to 0.01). after the first 25, the profit won't change to 4.98 until 50 bottles are sold. (0.015 will round off to 0.02) the 50 bottles per cycle will continue through out the process;

    25 bottles sold = $125 profit ($5*25)
    75 bottles sold = $125 + $249.5 ($4.99*50)
    125 bottles sold = $374.5 + ($4.98*50)
    continue this process and you will find the answer once you reach 9600 bottles.

  • math -

    For the second part; take the answer from the first question and divide it by 9600.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. economics

    Assume that a bottle of wine sells for $10. The government decides to put a $1 per bottle tax on wine. What will be the new price that consumers must pay for a bottle of wine?
  2. Math

    You own a small winery that produces two types of Chardonnay, an extra extra oaky one and an oaky one. The wines are produced from the same grapes. Furthermore, both wines are aged in oak barrels, and have additional oak chips added …
  3. Math

    1. The manager of a bottle shop makes 25% profit on the cost price of all bottles of wine sold in the shop. She charges $12 for a bottle of Open View reisling. A hotel room service charged $30 for a similar bottle of Open View reisling. …
  4. linear programming

    Mountain Laurel Vineyards produces three kinds of wine Mountain Blanc, Mountain Red, and Mountain Blush. The company has 17 tons of grapes available to produce wine this season . A cask of Blanc requires 0.21 tons of grapes, a cask …
  5. math

    Phillip, the proprietor of a vineyard, estimates that the first 9600 bottles of wine produced this season will fetch a profit of $5 per bottle. However, the profit from each bottle beyond 9600 drops by $0.0002 for each additional bottle …
  6. math

    Phillip, the proprietor of a vineyard, estimates that the first 9600 bottles of wine produced this season will fetch a profit of $5 per bottle. However, the profit from each bottle beyond 9600 drops by $0.0002 for each additional bottle …
  7. math

    Phillip, the proprietor of a vineyard, estimates that the first 9600 bottles of wine produced this season will fetch a profit of $5 per bottle. However, the profit from each bottle beyond 9600 drops by $0.0002 for each additional bottle …
  8. math

    Phillip, the proprietor of a vineyard, estimates that the first 9600 bottles of wine produced this season will fetch a profit of $5 per bottle. However, the profit from each bottle beyond 9600 drops by $0.0002 for each additional bottle …
  9. math

    Phillip, the proprietor of a vineyard, estimates that the first 9600 bottles of wine produced this season will fetch a profit of $5 per bottle. However, the profit from each bottle beyond 9600 drops by $0.0002 for each additional bottle …
  10. Econ

    Suppose that the U.S. government decides to charge wine consumers a tax. Before the tax, 10 billion bottles of wine were sold every year at a price of $4 per bottle. After the tax, 4 billion bottles of wine are sold every year; consumers …

More Similar Questions