Based on the Information for Questions 25-30 (Parts 1 and 2), what is the amount in Cell 6: Controlling Interest in net income?

Determine the mixed strategy Nash equilibria in the reduced game. 

Determine the pure strategy Nash equilibria in the reduced game.

The following description will be used in questions 2a through 2e and in bonus II.   A firm produces x according to the cost function c(x)=20x+25. The demand for x is represented by the inverse price demand curve p=A-bx, where p is the price faced by consumers and A and b are positive numbers.

Identify all dominated strategies.

The following description will be used in questions 3a to 3d and bonus III.   Consider a firm that produces output y using capital k and labor l, according to the technology described by f(k,l) ≥ y and following a restriction g(k,l) ≥M; where f and g are functions of k and l, and M is a nonnegative value. Let r be the rental rate for capital and w the wage rate.   If the firm takes its output y as given and chooses inputs k and l to minimize costs, then the firm’s cost minimization problem is:   minimize   rk +wl     ,  by choosing k,l subject to:  f(k,l) = y   and   g(k,l) ≥M       

Why is it important to study production functions such as f1 and f2?

The following description will be used in questions 1c and 1d. Figure 3 showcases the cost function as a function of the price of x1 for a production function fI. Once again, you are asked to complete the missing information, which is represented by capital letters I, J, and K.

Problem 4 Description: Two different Types of injection-molding machines are used to form plastic parts. A part is considered defective if it has excessive shrinkage or is discolored. Two random samples, each of size 100, are selected, and 12 defective parts are found in the sample from machine 1 while 5 defective parts are found in the sample from machine 2. Is it reasonable to conclude at 0.04 level of significance that machine 1 produces higher higher fraction of defective parts than machine 2?   Use Excel to do all the computations. Answer all the questions below and upload your Excel file to the last question and submit.

The American Stroke Association estimates that there are approximately 795,000 people who suffer a stroke each year in the United States, and of these, nearly 129,000 lead to death.  Calculate the percentage of people in the US that died last year as a result of suffering a stroke.