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a) With a utility function of U(S,A)= S0.4 x A0.6, derive a set of data points for U=1 and then plot a graph to show this indifference curve. Hint: use maximum values of 9 apples (A) and 27 sandwiches (S).
b) When U=1, and using a maximum value of 27 sandwiches (S) and 9 apples (A), calculate the marginal utility of S and A.
Compute the probability
Calculate the doubling time of a population.
During a marathon, Kim our champion cyclist is having struggles. At the halfway checkpoint she is behind the leader, Allison by 10 miles. Kim still has a lot of energy left and pacing herself at a constant 15 miles per hour.
Find the points of intersection of the circle with equation (x - 2) 2+ (y - 6) 2= 40
Finding the slope
Write algebraic expressions for two numbers with a sum of - 3. Let one of the numbers be represented by x. If one number is represented by x, how would the other number be represented?
Solve the inequality and express the solutions
Company reports the following operating results for the month of August: Sales $350,000 (units 5,000); variable costs $210,000; and fixed costs $90,000. Management is considering the following independent courses of action to increase net income.
The demand for a certain product is given by p = 28 - 0.01x,where x is the number of units sold per month and p is the price, in dollars, at which each item is sold. The monthly revenue is given by R = xp.
Find the y intercept.
mario and luigi were selling coupon books for the video game fudraiser. apparently mario was a better
Write a piecewise-defined function that gives the cost C(n) for a museum visitor who is n years old. What is the range of the function?
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