Imagine your are the Chief Production Officer for a factor that makes two toys: stuffed zebras and stuffed bears. As you are in charge of production decisions, you need to model the use of inputs in producing these products. You know, from historical records, that your firm can produce a maximum of 3,906 stuffed zebras an hour if you place all your available resources in to the production of zebras. If you produce 3,906 stuffed zebras an hour, there will be no resources left over for the production of stuffed bears, so bear production will be 0. You also know that if you devote all your resources to the production of stuffed bears, that you can produce a maximum of 13,137 bears an hour, which, of course, means that production of stuffed zebras will be 0. Assume that a linear function governs the tradeoff between zebras and bears. If you give up producing one zebra, how many bears per hour can your firm produce? Make sure to express your answer to the first decimal point.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Imagine your are the Chief Production Officer for a factor that makes two toys: stuffed zebras and stuffed bears. As you are in charge of production decisions, you need to model the use of inputs in producing these products.

You know, from historical records, that your firm can produce a maximum of 3,906 stuffed zebras an hour if you place all your available resources in to the production of zebras. If you produce 3,906 stuffed zebras an hour, there will be no resources left over for the production of stuffed bears, so bear production will be 0.

You also know that if you devote all your resources to the production of stuffed bears, that you can produce a maximum of 13,137 bears an hour, which, of course, means that production of stuffed zebras will be 0.

Assume that a linear function governs the tradeoff between zebras and bears. If you give up producing one zebra, how many bears per hour can your firm produce?

Make sure to express your answer to the first decimal point.

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