3 ranchers use a grassland to feed their cows. The ranchers must choose how many cows to raise. The benefit of raising a cow for a rancher is 100- 1²p per cow, where G is the total quantity of cows using the grassland. The marginal cost of raising a cow is 10. Hence, the net benefit of raising cows for any rancher is (100-²) - 10g, where g is the quantity of cows raised by the rancher. What is the total quantity of cows using the grassland, implied by the Nash Equilibrium? ● O O √5 ● √5 QUESTION 15 ● 9 3 ranchers use a grassland to feed their cows. The ranchers must choose how many cows to raise. The benefit of raising a cow for a rancher is 90-G per cow, where is the total quantity of cows using the grassland. The marginal cost of raising a cow depends on the number of cows and equal to MC = 6g₁, where g, is the number of cows raised by a rancher i, i=1,2,3. What is the optimization problem that rancher 1 solves? 12 max, (90-C)g₁-691 max (90-C)C-6G max (90-C)G-3G² max, (90-C)g₁-391

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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QUESTION 14
1² per
3 ranchers use a grassland to feed their cows. The ranchers must choose how many cows to raise. The benefit of raising a cow for a rancher is 100-
cow, where G is the total quantity of cows using the grassland. The marginal cost of raising a cow is 10. Hence, the net benefit of raising cows for any rancher is
-C²)g- 10g, where g is the quantity of cows raised by the rancher. What is the total quantity of cows using the grassland, implied by the Nash
3
(100-
Equilibrium?
0
9
√5
3
√5
O
9
12
QUESTION 15
3 ranchers use a grassland to feed their cows. The ranchers must choose how many cows to raise. The benefit of raising a cow for a rancher is 90-G per cow,
where is the total quantity of cows using the grassland. The marginal cost of raising a cow depends on the number of cows and equal to MC = 6g₁, where g, is
the number of cows raised by a rancher i, i = 1,2,3. What is the optimization problem that rancher 1 solves?
max, (90-G)g₁-691
max (90-G)G-6G
max (90-C)G-3G²
9₁ (90-G)g₁-391
max g₁ (s
Transcribed Image Text:QUESTION 14 1² per 3 ranchers use a grassland to feed their cows. The ranchers must choose how many cows to raise. The benefit of raising a cow for a rancher is 100- cow, where G is the total quantity of cows using the grassland. The marginal cost of raising a cow is 10. Hence, the net benefit of raising cows for any rancher is -C²)g- 10g, where g is the quantity of cows raised by the rancher. What is the total quantity of cows using the grassland, implied by the Nash 3 (100- Equilibrium? 0 9 √5 3 √5 O 9 12 QUESTION 15 3 ranchers use a grassland to feed their cows. The ranchers must choose how many cows to raise. The benefit of raising a cow for a rancher is 90-G per cow, where is the total quantity of cows using the grassland. The marginal cost of raising a cow depends on the number of cows and equal to MC = 6g₁, where g, is the number of cows raised by a rancher i, i = 1,2,3. What is the optimization problem that rancher 1 solves? max, (90-G)g₁-691 max (90-G)G-6G max (90-C)G-3G² 9₁ (90-G)g₁-391 max g₁ (s
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