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Question
a simple model of production exercise 1 (algo)
mountain mack spends his time carving fishing lures and duck decoys. if mountain mack spends all of his time carving fishing lures he can carve 40 lures in a week. if he spends all of his time carving duck decoys he can carve 50 decoys in a week. for every 10 duck decoys mountain mack carves he must give up 8 fishing lures.
mountain macks production possibilities schedule
fishing lures duck decoys
40 0
0 50
instructions: enter your answers as a whole number.
fill in the values in the table to complete mountain macks production possibilities schedule
Step1: Identify trade-off rate
Given: 10 duck decoys = 8 fewer lures
Step2: Split total decoys into increments
Total decoys max = 50, so split into 4 equal 10-decoy steps: 10, 20, 30, 40
Step3: Calculate lures for each decoy level
Start with 40 lures (0 decoys). Subtract 8 lures per 10 decoys:
- 10 decoys: $40 - 8 = 32$ lures
- 20 decoys: $32 - 8 = 24$ lures
- 30 decoys: $24 - 8 = 16$ lures
- 40 decoys: $16 - 8 = 8$ lures
Step4: Map lures to decoy values
Reverse: For each lure decrease, match to decoy increase.
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| Fishing Lures | Duck Decoys |
|---|---|
| 32 | 10 |
| 24 | 20 |
| 16 | 30 |
| 8 | 40 |
| 0 | 50 |