The inverse demand for a homogeneous-product Stackelberg duopoly is P= 12,000-5Q. The cost structures for the leader and the follower, respectively, are CL(QL) = 3,000 QL and CF(QA) 6,000QF a. What is the follower's reaction function? QF= QL b. Determine the equilibrium output level for both the leader and the follower. Leader output: Follower output: c. Determine the equilibrium market price. $ d. Determine the profits of the leader and the follower. Leader profits: $ Follower profits: $
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- No probabilities are known for the occurrence of the nature states. Compare the solutions obtained by each of the following criteria: Maximin (Minimax)HiiiThe Gorman Manufacturing Company must decide whether to manufacture a component part at its Milan, Michigan, plant or purchase the component part from a supplier. The resulting profit is dependent on the demand for the product. The following payoff table shows the projected profit (in thousands of dollars): (bold and underline is answer/ --- = needs answer) State of Nature Low Demand Medium Demand High Demand Decision Alternative s1 s2 s3 Manufacture, d1 -20 40 100 Purchase, d2 10 45 70 The state-of-nature probabilities are P(s1) = 0.40, P(s2) = 0.40, and P(s3) = 0.20. Do not round your intermediate calculations. (a) Use a decision tree to recommend a decision. Purchase Component Part (b) Use EVPI to determine whether Gorman should attempt to obtain a better estimate of demand. Enter your answer in thousands dollars. For example, an answer of $200 thousands should be entered as 200,000. Gorman should attempt to obtain a better estimate of…
- The preference of an agents on lotteries can be represented by an expected utility function u such that u(x) = 3y^1/2 -10. Then the agent is A) not risk averse B) risk loving C) risk neutral D) risk averse E) NOPACBased on the following sensitivity analysis, which of the following products would be considered most sensitive to changes or errors in the objective function coefficient? A. Product_2 B. Product_1 C. Product_3 Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 25 13 5 $B$3 Product_2 175 0 25 8 9 $B$4 Product_3 0 −1.5 25 11 3 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 100 $H$10 Resource_B 525 0 800 1E+30 275 $H$11 Resource_C 700 1.75 700 366.6666667 70056 iS THE WRONG ANSWER
- The following table is a payoff matrix associated with a farmer’s decision to purchase a pump for irrigation or to depend on the rains d) Draw up a regrets table and use it to determine which alternative will bechosen under the minimax regret decision criterion.(e) Estimate the expected value of perfect information (EVPI)The Gorman Manufacturing Company must decide whether to manufacture a component part at its Milan, Michigan, plant or purchase the component part from a supplier. The resulting profit is dependent upon the demand for the product. The following payoff table shows the projected profit (in thousands of dollars): state of nature low demand medium demnad high demand Decision alternative s1 s2 s3 manufacture d1 -20 40 100 purchase d2 10 45 70 The state-of-nature probabilities are P(s1) = 0.35, P(s2) = 0.35, and P(s3) = 0.30. a. A test market study of the potential demand for the product is expected to report either a favourable (F) or unfavourable (U) condition. The relevant conditional probabilities are as follows: P(F|S1)=0.10 P (U|S1)=0.90 P(F|S2)=0.40 P (U|S2)=0.60 P(F|S3)=0.60 P (U|S3)=0.40 Compute the probabilities by completing the table Sate of…The Gorman Manufacturing Company must decide whether to manufacture a component part at its Milan, Michigan, plant or purchase the component part from a supplier. The resulting profit is dependent upon the demand for the product. The following payoff table shows the projected profit (in thousands of dollars): state of nature low demand medium demnad high demand Decision alternative s1 s2 s3 manufacture d1 -20 40 100 purchase d2 10 45 70 The state-of-nature probabilities are P(s1) = 0.35, P(s2) = 0.35, and P(s3) = 0.30. a.Use expected value to recommend a decision. b.Use EVPI to determine whether Gorman should attempt to obtain a better estimate of demand.
- The Gorman Manufacturing Company must decide whether to manufacture a component part at its Milan, Michigan, plant or purchase the component part from a supplier. The resulting profit is dependent upon the demand for the product. The following payoff table shows the projected profit (in thousands of dollars): state of nature low demand medium demnad high demand Decision alternative s1 s2 s3 manufacture d1 -20 40 100 purchase d2 10 45 70 The state-of-nature probabilities are P(s1) = 0.35, P(s2) = 0.35, and P(s3) = 0.30. a. A test market study of the potential demand for the product is expected to report either a favourable (F) or unfavourable (U) condition. The relevant conditional probabilities are as follows: P(F|S1)=0.10 P (U|S1)=0.90 P(F|S2)=0.40 P (U|S2)=0.60 P(F|S3)=0.60 P (U|S3)=0.40 A.Compute the probabilities by completing the table Sate of…Refer to Problems 1 and 2. Construct a graph that will enable you to perform sensitivity analysis on the problem. Over what range of P(high) would the alternative of doing nothing be best? Expand? Subcontract?The owner of a retail store that specializes in school supplies plans to buy TV ad time during the broadcast of Wheel of Fortune, a game show that has a rating of 20. It reaches 15,000 people in the primary target audience and a 30-second spot costs $500. What is the cost per thousand (CPM) of the show? 1) $33 2) $133 3) $30 4) $23 5) $750 Dravinur Dnn