The owner of a golf shop in Myrtle Beach, SC, must decide how many sets of beginner golf clubs to order for the coming tourist season. Demand for golf clubs is random but follows a Poisson distribution with the average demand rates indicated in the following table for each month. The expected selling price of the clubs also is shown for each month.

In May, each set of clubs can be ordered at a cost of $75. This price is expected to drop 5% a month during the remainder of the season. Each month, the owner of the shop also gives away a free set of clubs to anyone who makes a hole-in-one from a short practice tee next to the shop. The number of people making a hole-in-one on this tee each month follows a Poisson distribution with a mean of 3. Any sets of clubs left over at the end of October are sold for $45 per set.
a. How many sets of clubs should the shop owner order if he wants to maximize the expected profit on this product?
b. What are the best-case and worst-case outcomes the owner might face on this product if he implements your suggestion?
c. How likely is it that the store owner will make at least $17,000 if he implements your suggestion?
d. How likely is it that the store owner will make between $12,000 to $14,000 if he implements your suggestion?
e. What percentage of the total demand for this product (excluding the free giveaways) will the owner be able to meet if he implements yoursuggestion?

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May Junte JulyAugust Sepmbe October Average Demand 6090 Selling Price 50 $145 $140 $130 $110 40 $60 70 30 $80