Chapter 6.3, Problem 42PPS

(a)

To determine

To Find: The graph for the profit function with the help o the calculator.

Answer to Problem 42PPS

The required graph is shown in Figure 1

Explanation of Solution

Given:

The given function is $P\left(x\right)=-0.0014x^3+0.3x^2+6x-355$ .

Calculation:

Consider the given function is shown in Figure 1

  

Figure 1

(b)

To determine

To Find:The reasonable viewing window for the function.

Answer to Problem 42PPS

Theviewing window is shown in Figure 1

Explanation of Solution

Consider that to obtain the viewing window use the calculator and then input the expression as shown in Figure 1

  

Figure 1

Now to obtain the window click the option and the se the range as shown in Figure 2

  

Figure 2

Press the graph option as shown in Figure 3

  

Figure 3

(c)

To determine

To Find:The approximation for all the zeroes of the function by the use of CALC.

Answer to Problem 42PPS

Thus, the zeroes are $\left(-41.0,27.1,228.2\right)$ .

Explanation of Solution

The approximation for the zero to obtain the curve by the use of CALC is shown in Figure 4

  

Figure 4

The next step is to set the left and the right bound three times as there are three intersection for the graph as shown in Figure 5

  

Figure 5

The graph for the second zero is shown in Figure 6

  

Figure 6

The graph is shown in Figure 7

  

Figure 7

Thus, the zeroes are $\left(-41.0,27.1,228.2\right)$ .

(d)

To determine

To Find: The range of the microwave that is sold in order for the firm to have the profit.

Answer to Problem 42PPS

Thus, the range of the microwaves is 28 to 228.

Explanation of Solution

Consider that to obtain the profit the graph should always go in the positive and in the increasing direction and the required range is 28 to 228 microwaves.

Thus, the range of the microwaves is 28 to 228.