To find: How many standard carts and deluxe carts should be purchased to maximize the amount of merchandise that can be stored.
Answer to Problem 39E
4 standard and 11 deluxe carts
Explanation of Solution
Given information: Business: A company is planning to buy new carts to store merchandise. The owner believes they need at least 2 standard carts and at least 4 deluxe carts. The company can afford to purchase a maximum of 15 carts at this time; however, the supplier has only 8 standard carts and 11 deluxe carts in stock. Standard carts can hold up to 100 pounds of merchandise and deluxe carts can hold up to 250 pounds of merchandise.
Calculation:
This is a thought problem, no math needed.
The company is required to buy two standard and four deluxe carts.
The company they are buying them from has this. No problem.
The company buying the carts wants to maximize its storage so it wants to buy as many deluxe carts as it can since they hold 150 more pounds than the standard carts.
But they HAVE to buy at least two standard carts!
Since they are limited to 15 carts maximum, they could buy two standard carts and 13 deluxe carts.
However, the supply company only has 11 deluxe carts. So they will grab up all of those and for the remaining 4 carts they will have to get all standard.
So with the restrictions given, the most storage will be with 4 standard and 11 deluxe carts.
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