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The profit P for a Zorex is given by the equation P = - OOO2x^2 + 140x - 250000

ID: 3014551 • Letter: T

Question

The profit P for a Zorex is given by the equation P = - OOO2x^2 + 140x - 250000 Where x is the number of items produced. How many items need to be produced to yield a maximum profit? What will that maximum profit be? An open box is to be made from a 26X 26square piece of material, by cutting equal squares from each comer and by turning up the sides. Find the dimensions of the box so that the volume of the finished box is to be 12000 cubic inches You may use your calculator to graph and solve once you have the equation set up. Length= Width= Height=

Explanation / Answer

P=-0.002x2+140x-25000

The profit is maximum at maximum value of x and x is maximum at its vertex

x=-(140)/2*(-0.0002)

x=350000

P(350000)=$24250000