Chapter 14.3, Problem 17E

### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

Chapter
Section

### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# For Problems 17-19, suppose that the number of crates of an agricultural product is given by z = 11 x y − 0.0002 x 2 − 5 y 0.03 x + 3 y where x is the number of hours of labor and y is the number of acres of the crop.Find the output when x = 300 and y = 500.

To determine

To calculate: The output when x=300 and y=500 for the function z=11xy0.0002x25y0.03x+3y where x is the number of hours of labor and y is the number of acres of the crop.

Explanation

Given Information:

The number of crates of an agricultural product is given by z=11xyâˆ’0.0002x2âˆ’5y0.03x+3y where x is the number of hours of labor and y is the number of acres of the crop.

Calculation:

Consider the problem,

The number of crates of an agricultural product is given by z=11xyâˆ’0.0002x2âˆ’5y0.03x+3y where x is the number of hours of labor and y is the number of acres of the crop.

The provided function is z(x,y)=11xyâˆ’0.0002x2âˆ’5y0.03x+3y.

Also, x=300 and y=500.

Recall that, the value of a function of two variables f(x,y) at the point x=a,y=b is f(a,b).

Substitute 300 for x and 500 for y in z(x,y)=11xyâˆ’0.0002x2âˆ’5y0

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