The Model S costs the shop $200, and returns a profit of $70. The Model M costs the shop $300 and returns a profit of $100. The shop has at most room for 20 bikes in the shop. The shop also ha only $4800 to spend on inventory.
1. Write a function expressing the profit from the sale of M mountain bikes and S street bikes.
2. How many of each kind of bike must the shop stock to earn the maximum profit?
3. What is the Maximum profit possibility if they sell all of their bikes.
If you could give reasons for as well that would be fantastic!
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1. If I sold 5 mountain bikes and 3 street, how much profit did I make? When you figured that out, you are used a formula. This is a very simple formula, the number of mountains bikes sold, times the profit on each bike plus the number of street bikes sold times the profit on each street bike.
2. Well, $100 is better than $70, so what if they bought all the mountain bikes they could and sold them? 4800/300 = 16, a profit of $1600. But Street bikes make 70/200 profit and mountain 100/300. So, on $600, three street bikes would make $210, while two mountain bikes would only make $200. So what if they bought all street bikes, 20 * 200 = 4000 and 20 * 70 = 1400, so only $1400.
Maybe a combination or both, since the mountain bikes don’t use all the slots, but the street bikes don’t use all the inventory money.