math

Billy Jeans' profit is given by the equation y=2.7-.0000015(x-2550)^2, where x represents the number of units manufactured and y represents the profit given in millions of dollars. What is the maximum possible profit?

a) 2.55 billion dollars
b) -7.1 million dollars
c) 9.8 million dollars
d) 2.7 million dollars

Calculate dy/dx and set it equal to zero.
dy/dx = 1.5*10^-2*(x-2550)=0
x = 2550 at the maximum
Y (@ x=2550) = 2.7 million
The answer is (d)

  1. 👍 0
  2. 👎 0
  3. 👁 119
asked by joe
  1. I was hoping to using this as my a example could you show me how to get to the answer. I'm horrible at math.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Linda owns a jeans store. Her montly profit p( x) dollars on the sale of x pairs of jeans is given by the equation p(x ) = 50x - 1/5x^2. How many pairs of jeans must she sell each month to maximize her profit?

    asked by Linda on December 29, 2009
  2. math

    a company sells one of its product at Rs.12 per unit a year.its cost function is given by [c(x)=0.01x^2+8^x+7],where x represents the number of units.the number of units and the maximum profit for which profit function maximizes

    asked by Ana on November 17, 2016
  3. algebra

    show the algebraic inequality The profit for a company is determined by the equation y = 0.02x – 0.30, where y represents the profit and x represents the number of items sold. How many items must be sold so that the profit will

    asked by franklin on November 9, 2010
  4. physics

    In these figures, we see a boy named Billy riding a carnival ride called the Rotor and the free-body diagram for the forces acting on him. What must be the magnitudes of the vectors (f)wall,Billy and (W)Earth,Billy if Billy

    asked by Betty on October 2, 2016
  5. math

    the inventor charges $4.00 per unit, then her profit for producing and selling x units is given by the function P(x) = 2.25x - 7000 (a) What is her profit if she sells 2000 units? (b) What is per profit if she sells 5000 units?

    asked by Diana on June 1, 2007
  6. Precalculus

    The revenue and cost equation for a product are R = x(75 - 0.0005x) and C = 30x + 250,000 where R and C are measured in dollars and x represents the number of units sold. How many units must be sold to obtain a profit of at least

    asked by Eva on December 11, 2014
  7. Computer Programming

    I'm trying to create a vba code that solves this problem: 50 apartment units rent for 600 a month, for each 40 dollar increase in rent a unit becomes unoccupied. I want to find the max profit and number of units at that number.

    asked by Dom on July 9, 2013
  8. math

    i need to approximate profit in this equation 3. Hot Rocks Music sells CDs. If the profit can be approximated by following equation: , where x represents the number of thousands of CDs sold. Approximately, how many CDs must be

    asked by David on September 12, 2011
  9. math

    Can someone please help me/ Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last

    asked by Please Help on October 24, 2015
  10. Pre-Cal

    I've been trying to work this problem out for the past week and still havent managed to get to the answer. jeans unlimited sold 6000 pairs of jeans in october at an average of 44$ each. The company president decides that she must

    asked by Chloe on October 8, 2010

More Similar Questions