2. Consider a version of the shirking game with U, 3D 5p - w+ (1 — р)mw - т UA = p(w-2) +(1-p)(1-m)w A. Find the equilibrium p and m as a function of w B. Find the equilibrium w C. Why is the equilibrium in this game inefficient?
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- Redo Exercise 5, assuming that the house blend contains 300 grams of Colombian beans, 50 grams of Kenyan beans, and 150 grams of French roast beans and the gourmet blend contains 100 grams of Colombian beans, 350 grams of Kenyan beans, and 50 grams of French roast beans. This time the merchant has on hand 30 kilograms of Colombian beans, 15 kilograms of Kenyan beans, and 15 kilograms of French roast beans. Suppose one bag of the house blend produces a profit of $0.50, one bag of the special blend produces a profit of $1.50, and one bag of the gourmet blend produces a profit of $2.00. How many bags of each type should the merchant prepare if he wants to use up all of the beans and maximize his profit? What is the maximum profit?In a study of the influence of financial institutions on bond interest rates in a certain country, quarterly data over a period of 12 years were analyzed. The postulated model was y¡ = Bo + B₁×₁¡ + B₂X2; + &¡, where y; is the change over the quarter in the bond interest rates, X₁₁ is the change over the quarter in bond purchases by financial institutions, and X2i is the change over the quarter in bond sales by financial institutions. The estimated regression coefficients are b₁ = 0.057 and b₂ = -0.033. Interpret these estimates. What is the correct interpretation of the coefficient estimates? Select the correct choice below and, if necessary, fill in the answer boxes within your choice. A. Each percent increase in the bond interest rates leads to a change in the estimated amount of bonds purchased by financial institutions by and a decrease in bond sales by financial institutions by. B. Each additional bond purchased by financial institutions leads to a change in the estimated bond…2. AMBK Company manufactures furniture such as sofas and tables. In their current inven- tory, a total of 48 planks of wood are left. Each sofa needs four planks of wood to be made while each table needs two planks of wood to be made. The company earns a profit of hundred pesos where P(x, y) = 12xy for selling a units of sofas and y units of tables. With their current inventory of woods, how many sofas and tables are needed to be produced to maximize their profit? (Use the Lagrange method of optimization.)
- At a price of $90 per office chair, 150 office chairs are demanded by consumers, but at a price of $110 per office chair, only 90 office chairs are demanded. The supplier is willing to supply x office chairs for a price, in dollars, of p(x) = 0.075x + 66.5. What is the market equilibrium quantity of office chairs? What is the market equilibrium price in dollars?The following game is played by 2 players Solve the equilibrium for this game.what is the optimal value of C ? when x1 = ? x2=? and x3 =?
- Internet Audience At the end of a certain year, the four companies with the largest number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users. Taking x to be the Microsoft audience in millions, y the Time Warner in millions, z the Yahoo audience in millions, and u the Google audience in millions, it was observed that. z - u = 3(x -y) + 16 x + y = 50 + z + u and x - y + z - u = 52. How large was the audience of each of the four companies at the end of that year? Microsoft Time Warner Yahoo GoogleFind the parameters of the linear model using the least squares method, with the independent variable being the period and the dependent variable being sales. Which of the following is the constant term (a) of the linear model?What are som real life examples related to system of equations...
- 8 p = x +1 x +3 p = 2 5. Under pure competition and ; determine the consumers' surplus and producers' surplus when market equilibrium is established.B.16. I need to help me to convert the system into a second-order difference equation...Producers will supply x units of a certain commodity to the market when the price is p = S(x) dollars per unit, and consumers will demand x units when the price is p =D(x) dollars per unit, where y = D(x)=x²-2x+6 and 2 7 y = S(x)=x+3 Find the equilibrium price. a. none b. 1 c. 2 d. O e. 3 w|00 8 Following lines are parallel to each others if a = - 4. L1: (a-2)x+3y+1=0 L2: (a +2)x-4y+1=0 True False Select one:
