Solve the following game for optimal strategy based =3 =9 d=9 e:l B₁ A₁ 9+ a
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- Three marksmen Tom, Joe, and Bill are aiming at three targets, T1, T2, T3. Tom will choose either target T1 or T2, with p=0.5 of choosing T1, and p=0.5 of choosing T2. Joe will choose either target T2 or T3, with p=0.5 of choosing T2, and p=0.5 of choosing T3. Bill will randomly choose either target T1 or T3, with p=0.5 of choosing T1, and p=0.5 of choosing T3. Also, the probability of each marksman hitting their chosen target is p=0.6 for Tom, p=0.6 for Joe, and p=0.3 for Bill. A hit is registered if a target is hit by any marksman. Let X denote the number of targets that are hit after all three take one shot at the same time. a) What is the probability that T1 is hit after one round of fire? b) Find E[X] (A diagram is attached to aid with maksmen/target layout)Consider the following system of inequalities.9x + 4y ≤ 366x + 5y ≤ 302x + 5y ≤ 20x ≥ 0y ≥ 0 (a)Find the feasible region of the system of inequalities.I don't need to know the value of the game I need to know the optimal strategies for R and C please
- Therefore, the solution from the simplex tableau is as shown below. x1 =_____ x2=_____ x3=______ S1=______ s2=______ z=______4. A furniture factory receives a daily shipment of 50 boards of oak and 60 boards of maple, which they use to make cabinets and tables. Each cabinet uses two oak boards and two maple boards and yields a profit of $80. Each table uses two oak boards and three maple boards and yields a profit of $100. How many cabinets and tables should the factory make daily to maximize profit?The inventor of a new game believes that the variable cost for producing the game is $0.95 per unit and the fixed cost are $4,700. The inventor sells each game for $1.99. Let c be the number of games produced
- What is the optimal solution for the following problem? Maximize P = 3x + 15y subject to 2x + 4y ≤ 12 5x + 2y ≤ 10 and x ≥ 0, y ≥ 0.Solve the linear programming problem. P = 2x +8y x+y ≤ 4 2x + y ≤ 5 x ≥ 0, y ≥ 0Use the following information for questions 3-6. The columns indicate the number of trains running. Total railroad profits are the total profits to the railroad from running the specified number of trains. Total lost farmer profits are total profits the farmer loses from a specified number of trains running. Trains 1 2 3 Total Railroad Profit $100 $200 $300 Total Lost Profit for Farmer $40 $130 $250 What is the socially optimal number of trains? A. 0 B. 1 C. 2 D. 3