Can you show me the steps to solve this problem. As the owner of a rent-a-car agency, you have determined the following statistics.

Potential Rentals Daily	Probability
0	0.10
1	0.15
2	0.20
3	0.30
4	0.25

Rental Duration	Probability
1 day	0.50
2 days	0.30
3 days	0.15
4 days	0.05

The gross profit is $44per car per day rented. When there is demand for a car but none is available, there is a goodwill loss of $76, and the rental is lost. Each day a car is unused costs you $6per car. Your firm initially has four cars.(a)Conduct a 10-day simulation of this business. Use the following table of random numbers for demand. (Use the random numbers in order, from left to right.)

0.63

0.88

0.55

0.46

0.55

0.69

0.13

0.17

0.36

0.81

Use the following table of random numbers for rental length. (Use the random numbers in order, from left to right, top to bottom, as you need them.)

0.59	0.09	0.57	0.87	0.07	0.92	0.29	0.28	0.64	0.36
0.41	0.39	0.80	0.39	0.65	0.79	0.14	0.41	0.10	0.91
0.71	0.82	0.58	0.36	0.54	0.02	0.39	0.99	0.63	0.08

What is the 10-day profit (in dollars)? (Assume that cars are only rented at the beginning of each day and only returned at the end. Set up your random number intervals for determining the potential rentals in order of increasing rentals. Set up your random number intervals for determining the rental time in order of increasing time.)

1,156

(b)If your firm can obtain another car for $200 for 10 days, should you take the extra car? (Give your answer in dollars.)If an additional car is added, the simulated 10-day profit (not including the cost of the extra car) is

1,382

.Since this is greater than the original 10-day profit byless

more

than $200, we

should

take the extra car.