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- maximize Q = 50 K 0.5 L 0.5 Q=50K 0.5 L 0.5 subject to the constraint 2 K + 3 L = 36 2K+3L-36 using the Lagrangian method.A sheet of paper 80 cm-by-72 cm is made into an open box (i.e. there's no top), by cutting x-cm squares out of each corner and folding up the sides. Find the value of x that maximizes the volume of the box. Give your answer in the simplified radical form. X = is the max.Jiffy-Pol Consultants is paid $1,000,000 for each percentage of the vote that Senator Sleaze receives in the upcoming election. Sleaze’s share of the vote is determined by the number of slanderous campaign ads run by Jiffy-Pol according to the function S = 100N/(N + 1), where N is the number of ads. If each ad costs $4,900 approximately how many ads should Jiffy-Pol buy in order to maximize its profits? A) 2,853. B) 1428. C)98 D) 477.
- You have k20 per week to spend and two possible uses for the money: telephoning friends back home and drinking coffee. Each Hour of phoning costs k2 and each cup of coffee costs k1. Your utility function is U(X,Y)=XY,where X is the hours of phoning you do and Y the number of cups of coffee you drink. What are your optimal choices? What is the resulting utility levels? You can use the standard result on the constrained maximization of such a function, but must state in clearlyQuestion Solve the following maximization problem graphically. P(x, y) = 16+ x + 4y; subject to: Provide your answer below: f(x)= 4x + 6y≤ 72 4x + 2y 2 24 x > 3 y> 4SUPPOSE U(x,y) = min (2x+y, x+2y) If neither the optimum x and y must be equal ZERO, and is unique, what must be the value of x in optimum if Px=2 Py=1 M=12?
- Imagine you are in charge of traffic safety for a city. A high visibility crosswalk with flashing lights will reduce fatality risk by 1% but costs $200,000. Assume the value of human life is estimated at $10 million. Should you spend the money to install the cross walk? (Hint: to multiply 5% by 100 you follow this process: 0.05 x 100 = 5). Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a b с EOC 12.02 d No, since the expected benefit ($10,000) is lower than the cost. No, since the expected benefit ($100,000) is lower than the cost. Yes, since the expected benefit ($1,000,000) exceeds the cost. Yes, since the expected benefit ($2,000,000) exceeds the cost. SaveIf 3 mangoes are sold for P^(75), how many mangoes can be bought for P^(150)?During a nationwide program to immunize the population against a new strain of the flu, public health officials determined that the cost of inoculating x% of the susceptible population would be approximately C(x)=1.85x 100−xmillion dollars. Suppose 17 million dollars are available for providing immunization.What percentage of the susceptible population will not receive immunization? (iv) If money was not a problem will they be able to providing immunization to the entire susceptible population?
- Maximize Q=K^0.4L0.5 given the equation S+3K+4L=108Find the optimal solution for the following problem. (Round your answers to 3 decimal places.) Minimize C= 6x+10y subject to 5x+7y>14 8x+6y≥ 16 and x ≥ 0, y ≥ 0. What is the optimal value of x? What is the optimal value of y?A lobbyist in our nation’s capitol must buy 250 votes in the House of Representatives and Senate to win passage of a bill to add Millard Fillmore’s face to Mount Rushmore. Votes in Congress can be purchased according to the following process: V = CM/100,000, where C is the number of dollars contributed to campaign funds and M is the number of three-martini lunches. If three-martini lunches cost $25 each, what is the smallest expenditure the lobbyist could make to ensure Mr. Fillmore’s proper place in history? Option A) 1,000,000 Option B) 25,000,025 Option C) 130,000 Option D) 50,000 Option E) 25,000,000