Suppose your submarine company's profit function for this year is given by P(x,y)--x2 + 6x-y. 10y...
(1 point) The profit function for a computer company is given by P(x) = -x2 + 31x – 22 where x is the number of units produced (in thousands) and the profit is in thousand of dollars. a) Determine how many (thousands of) units must be produced to yield maximum profit. Determine the maximum profit. (thousands of) units = maximum profit = thousand dollars b) Determine how many units should be produced for a profit of at least 40 thousand....
#3 please!! 2. Given the function f(x, y)-x2 +y -2xy -6x - 2y 5, find the following: (a) Find the critical point(s) of the function. For full credit, show all the algebra to find these and give your answer as ordered pairs. (b) Find the second order partial derivatives and use these to find the determinant of each critical point. Then classify each critical point as a saddle point, relative minimum, or relative maximum point. 3. A wine dealer sells...
5. Suppose that a firm's total profit function is P(x,y) = 2xy + 2y+12-(2x2 +y2), where x is amount of production and sales of the first product and y - of the second produc 1) Find all first and second order partial derivatives. 2) Find values of x and y that maximize the profit. Find the maximum profit. 6. Ifx thousand euros is spend on labor and y thousand euros is spend on equipment, the outpu certain factory will be...
Problem 2: Samsung Electronics manufactures smartphone microprocessors whose cost function is given by C=6X+9, where X is the number of microprocessor chips. The selling price per unit is P=30-3X and maximum output of the plant is 30,000 units per month. a. Determine the optimal demand for the microprocessor chips. b. What is the maximum profit per month? c. At what volume(s) of production does breakeven exist? d. What is the company's range of profitable demand?
Minimize the following function subject to the given constraint. (Round your answers to three decimal places.) Minimize the function fx, y, z)- x2 + y2 +z2 subject to the constraint 7x 8y 9z - 8 minimum of at (x, y, z)= X Need Help?Read It Talk to a Tutor -1 points TanApCalcBr10 8.5.017 My Notes Ask Your Teacher The total weekly profit (in dollars) realized by Country Workshop in manufacturing and selling its roll top desks is given by the...
1. (24 total points) Suppose a consumer’s utility function is given by U(X,Y) = X1/2*Y1/2. Also, the consumer has $72 to spend, and the price of Good X, PX = $4. Let Good Y be a composite good whose price is PY = $1. So on the Y-axis, we are graphing the amount of money that the consumer has available to spend on all other goods for any given value of X. a) (2 points) How much X and Y...
AQ2 Data Units [x] Cost [C] Rev [R] Profit [P] 100 260000 47500 -212500 250 275000 109375 -165625 500 300000 187500 -112500 800 330000 240000 -90000 1000 350000 250000 -100000 1200 370000 240000 -130000 1300 380000 227500 -152500 As your Division’s Chief economist, you perform a periodic review of the current total Cost "C", Revenue "R" and Profit "P" models associated with one of the Division's newest, but possibly underperforming, product lines. Among other important questions, you would like answers...
Solve using the graphical method. Choose your variables, identify the objective function and the constraints, graph the constraints, shade the feasibility region, identify all corner points, and determine the solution that optimizes the objective function. Use this information to answer the following 8-part question: A small company manufactures two types of radios- regular and short-wave. The manufacturing of each radio requires two operations: Assembly and Finishing. The regular radios require 1 hour of Assembly and 3 hours of Finishing. The...
Question 12 Suppose that a decision maker’s risk attitude toward monetary gains or losses x given by the utility function U(x) = (x+10,000)^0.5 If there is a 2.5% chance that the decision maker's car, valued at $5000, will be totaled during the next year, what is the most that she would be willing to pay each year for an insurance policy that completely covers the potential loss of her vehicle? Please round all answers (also intermediate results to 2 decimals)....
Hi, I am requesting your help. Some of those that I am not sure if I am right? Thank you, Michelle ________________________________ You work at Ford Motor Company and are responsible for determining weekly production capacity for the Juarez, Mexico assembly plant. There are 21 days left in the production month. Your sales manager just informed you that 4,725 vehicles need to be produced in the upcoming days to meet projected sales demand in the United States 21. Your production...