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a simple model of production exercise 1 (algo) mountain mack spends his…

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

Explanation:

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.

Answer:

Fishing LuresDuck Decoys
3210
2420
1630
840
050