Question

a. if mountain mack splits his week evenly between carving fishing lures and duck decoys, what is the maximum number of fishing lures and duck decoys could he carve?
25 fishing lures and 45 duck decoys
45 fishing lures and 25 duck decoys
50 fishing lures and 90 duck decoys
80 fishing lures and 50 duck decoys
b. if big lake bob splits his week evenly between carving fishing lures and duck decoys, what is the maximum number of fishing lures and duck decoys could he carve?
25 fishing lures and 40 duck decoys
40 fishing lures and 25 duck decoys
80 fishing lures and 50 duck decoys
50 fishing lures and 80 duck decoys

Explanation:

Step1: Find Mountain Mack's max outputs

Mountain Mack's max fishing lures: 50; max duck decoys: 90.

Step2: Split time evenly for Mountain Mack

Calculate half of each max:
Fishing lures: $\frac{50}{2}=25$
Duck decoys: $\frac{90}{2}=45$

Step3: Find Big Lake Bob's max outputs

Big Lake Bob's max fishing lures: 80; max duck decoys: 50.

Step4: Split time evenly for Big Lake Bob

Calculate half of each max:
Fishing lures: $\frac{80}{2}=40$
Duck decoys: $\frac{50}{2}=25$

Answer:

a. 25 fishing lures and 45 duck decoys
b. 40 fishing lures and 25 duck decoys