Assume that the farmer and the rancher can switch between producing meat and pro
ID: 1138200 • Letter: A
Question
Assume that the farmer and the rancher can switch between producing meat and producing potatoes at a constant rate bor Hours Needed to ake 1 Pound of eat Pounds Produced in 24 Hours Meat otatoes Potatoes armer ncher 11. Refer to Table 3-7. Assume that the farmer and the rancher each has 24 labor hours available. If each person divides his time equally between the production of meat and potatoes, then total production is a. 6 pounds of meat and 4.5 pounds of potatoes. b. 5.5 pounds of meat and 8 pounds of potatoes. c. 12 pounds of meat and 9 pounds of potatoes d. 5 pounds of meat and 5.5 pounds of potatoes. 12. Which of the following combinations of meat and potatoes could the farmer produce in 24 hours? a. 1 pound of meat and 8 pounds of potatoes. b. 2 pounds of meat and 2 pounds of potatoes. c. 1 pounds of meat and 5 pounds of potatoes. d. 3 pounds of meat and 2 pounds of potatoes. 13. Refer to Table 3-7. Which of the following combinations of meat and potatoes could the rancher not produce in 24 hours? a. 5 pounds of meat and 1 pounds of potatoes. b. 2 pounds of meat and 2 pounds of potatoes. c. 1 pounds of meat and 3 pounds of potatoes.Explanation / Answer
11.
Since each farmer and rancher have equal time 24 hours for producing meat and potatoes.
If both devotes 12 hours for potatoes and 12 for meat production.
Since Farmers can produce produce 1 pounds of meat in 6 hours and 1 pounds of potatoes in 4 hours.
In 12 hours farmer produce number of pounds of meat = 12/6
= 2 meats
In 12 hours farmer produce number of pounds of potatoes = 12/4
= 3 potatoes
In 12 hours rancher produce number of pounds of meat = 12/3
= 4 meats
In 12 hours rancher produce number of pounds of potatoes = 12/8
= 1.5 potatoes
Total production by farmers and ranchers are
4+2= 6 pounds of meat
3+1.5=4.5 pounds of potatoes.
Hence option a is the correct answer.
12.
Farmer
a. 1 pounds of meats and 8 pounds of potatoes
1 pounds of meat can be produced in 6 hours and 8 pounds of potatoes can be produced 32 hours.
6+32=38 hours
Hence in 24 hours this combination is not possible.
b.
2 pounds of meats and 2 pounds of potatoes
2 pounds of meat can be produced in 12 hours and 2 pounds of potatoes can be produced 8 hours.
12+8= 20 hours
Hence in 24 hours this combination is possible.
c.
1 pounds of meats and 5 pounds of potatoes
1 pounds of meat can be produced in 6 hours and 5 pounds of potatoes can be produced 20 hours.
6+20=26 hours
Hence in 24 hours this combination is not possible.
d.
3 pounds of meats and 2 pounds of potatoes
3 pounds of meat can be produced in 18 hours and 2 pounds of potatoes can be produced 8 hours.
18+8=26 hours
Hence in 24 hours this combination is not possible.
Hence farmers can produce only 2 pounds of meat and 2 pounds of potatoes in 24 hours and rest combinations are not possible in 24 hours.
13.
Ranchers
5 pounds of meats and 1 pounds of potatoes
5 pounds of meat can be produced in 15 hours and 1 pounds of potatoes can be produced 8 hours.
15+8=23 hours
Hence in 24 hours this combination is possible.
b.
2 pounds of meats and 2 pounds of potatoes
2 pounds of meat can be produced in 6 hours and 2 pounds of potatoes can be produced 16 hours.
6+16=22 hours
Hence in 24 hours this combination is possible.
c.
1 pounds of meats and 3 pounds of potatoes
1 pounds of meat can be produced in 3 hours and 3 pounds of potatoes can be produced 24 hours.
3+24=27 hours
Hence in 24 hours this combination is not possible.
Hence it can be said that the combination 1 pounds of meats and 3 pounds of potatoes can not be produced by ranchers in 24 hours.
Hence option c is the correct answer.
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