To determine the total production of coolers and radios if both Aruba and Iceland divide their labor hours equally between the two products, we need to calculate the production for each country based on their labor hours and the labor hours needed to produce each item.
Step 1: Calculate labor hours used by each country
Each country has 80 labor hours available and divides it equally between making coolers and radios. This means each country will allocate:
- 80 hours / 2 = 40 hours for coolers
- 80 hours / 2 = 40 hours for radios
Step 2: Calculate production for Aruba
Aruba:
- Labor hours needed to make 1 cooler: 2 hours
- Labor hours needed to make 1 radio: 5 hours
For coolers:
- Total coolers produced by Aruba = 40 hours / 2 hours per cooler = 20 coolers
For radios:
- Total radios produced by Aruba = 40 hours / 5 hours per radio = 8 radios
Step 3: Calculate production for Iceland
Iceland:
- Labor hours needed to make 1 cooler: 1 hour
- Labor hours needed to make 1 radio: 4 hours
For coolers:
- Total coolers produced by Iceland = 40 hours / 1 hour per cooler = 40 coolers
For radios:
- Total radios produced by Iceland = 40 hours / 4 hours per radio = 10 radios
Step 4: Total production of coolers and radios
Total production:
-
Total coolers from Aruba = 20
-
Total coolers from Iceland = 40
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Total coolers = 20 + 40 = 60 coolers
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Total radios from Aruba = 8
-
Total radios from Iceland = 10
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Total radios = 8 + 10 = 18 radios
Final Result
Thus, the total production is 60 coolers and 18 radios.
The correct answer is: c. 60 coolers and 18 radios.
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