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14. The profit function for one acre of soybeans is: P(x, y) =.01(-x² + 3xy +160x...
Trady 14. The profit function for one acre of soybeans is: P(x,y) = .01(-x + 3xy...
Trady 14. The profit function for one acre of soybeans is: P(x,y) = .01(-x + 3xy +160x - 5y +200 y +2600) where x is the unit cost of fertilizer and y is the unit cost of hybrid soybean seed. Hint: Use partial derivatives to set-up a system of equations to solve to find maximum values a) Find x and y values that maximize profit. b) Find the value of maximum profit. 15. Evaluate the following double integral. STE
5. Suppose that a firm's total profit function is P(x,y) = 2xy + 2y+12-(2x2 +y2), where...
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...
4. The demands for a monopolist's two products are determined by the equations p=25 - x and q=24 - 2y, where p and q ar...
4. The demands for a monopolist's two products are determined by the equations p=25 - x and q=24 - 2y, where p and q are prices per unit of the two goods, and x and y are the corresponding quantities. The costs of producing x units of the first good and y units of the other are C(x,y) = 3x + 3xy + y2 (a) Find the monopolist's profit (x,y) from producing and selling x units of the first good...
A firm’s demand function is p=60-0.5Q If fixed cost are 10 and variable cost are Q+3...
A firm’s demand function is p=60-0.5Q If fixed cost are 10 and variable cost are Q+3 per unit, find the maximum profit. Q2. Which of the following could represent a function, f(x,y), with first-order partial derivatives af/ax = 3xy(xy+2) af/ay=x^2(2xy+3) Q3. Find the value of dy/dx at the point (-2,1) for the function which is defined implicitly by x^2 - x/y =6 Q4. Find the value of the marginal rate of technical substitution for the production function Q=300 (K^2/3 )(L^1/2)...
#10 and #12 8. Find all points (.y) where fCx.y) -3x2 + 7xy -4y2 + x + y has possible relative maximum or minimum values 9. Find all points (x,y, z) where f(x,y,z) 5+ 8x 4y+x2+y2 z2has possibl...
#10 and #12
8. Find all points (.y) where fCx.y) -3x2 + 7xy -4y2 + x + y has possible relative maximum or minimum values 9. Find all points (x,y, z) where f(x,y,z) 5+ 8x 4y+x2+y2 z2has possible relativema imun or minimum value 10. Both first partial derivatives of f(x.y)-x-4xyy are zero at the points (0 11. Find all points (x,y) where f(e.y) 2x2+3xy + 5y has possible relative maximum or minimum values. Then, use the 12. Use the second...
6. The profit function of a firm is (x,y) = px +qy-ar? - By?, where p...
6. The profit function of a firm is (x,y) = px +qy-ar? - By?, where p and q are the prices per unit and ar? + By are the costs of producing and selling x units of the first good and y units of the other. The constants are all positive. (a) Find the values of x and y that maximize profits. Denote them by x* and y'. Verify that the second-order conditions are satisfied. (1) Define (p, q) =...
3 Find the minimum and maximum values of the function f(x, y)= x +y subject to the constraint x + y 1250. Use the L...
3 Find the minimum and maximum values of the function f(x, y)= x +y subject to the constraint x + y 1250. Use the Lagrange Equations. (Use symbolic notation and fractions where needed.) maximum value of the function minimum value of the function cBook Hint
3 Find the minimum and maximum values of the function f(x, y)= x +y subject to the constraint x + y 1250. Use the Lagrange Equations. (Use symbolic notation and fractions where needed.) maximum value...
1)A farmer must decide what combination of seed, water, fertilizer, and pest control will be most...
1)A farmer must decide what combination of seed, water, fertilizer, and pest control will be most profitable for the upcoming year. following table; The local agricultural college did a study of this farmer's situation and prepared the Plan Cost/acre (S) Income/acre (S) 575 1700 1950 2325 900 2100 2250 2600 List the plans in order of most desirable to least, and briefly explain why. (2 pts) 2) A start-up company is planning on manufacturing a new product. the quantity that...
A one product company finds that its profit. P. in millions of dollars, is given by...
A one product company finds that its profit. P. in millions of dollars, is given by the following equation where x is the amount spent on advertising, in P(x,y)= 4xy +50y - 9y? 10 1 y-80 Find the values of x and y that maximize the profit function, the maximized function value, and interpret these results. The maximum function value occurs at POD-1 The maximum profit of $is attained when is spent on advertising and the company charges per item...
3. A monopolist sells two products x and y for which the demand functions are P....
3. A monopolist sells two products x and y for which the demand functions are P. 84-4x, P. = 127-3y, and the combined total cost function is TC = 2x² + 3xy +4 y2 +64. a. Find the profit function. b. Find the profit-maximizing level of output for each product. c. Find the profit-maximizing price for each product. d. Find the maximum profit.
Trady 14. The profit function for one acre of soybeans is: P(x,y) = .01(-x + 3xy +160x - 5y +200 y +2600) where x is the unit cost of fertilizer and y is the unit cost of hybrid soybean seed. Hint: Use partial derivatives to set-up a system of equations to solve to find maximum values a) Find x and y values that maximize profit. b) Find the value of maximum profit. 15. Evaluate the following double integral. STE
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...
4. The demands for a monopolist's two products are determined by the equations p=25 - x and q=24 - 2y, where p and q are prices per unit of the two goods, and x and y are the corresponding quantities. The costs of producing x units of the first good and y units of the other are C(x,y) = 3x + 3xy + y2 (a) Find the monopolist's profit (x,y) from producing and selling x units of the first good...
#10 and #12
8. Find all points (.y) where fCx.y) -3x2 + 7xy -4y2 + x + y has possible relative maximum or minimum values 9. Find all points (x,y, z) where f(x,y,z) 5+ 8x 4y+x2+y2 z2has possible relativema imun or minimum value 10. Both first partial derivatives of f(x.y)-x-4xyy are zero at the points (0 11. Find all points (x,y) where f(e.y) 2x2+3xy + 5y has possible relative maximum or minimum values. Then, use the 12. Use the second...
6. The profit function of a firm is (x,y) = px +qy-ar? - By?, where p and q are the prices per unit and ar? + By are the costs of producing and selling x units of the first good and y units of the other. The constants are all positive. (a) Find the values of x and y that maximize profits. Denote them by x* and y'. Verify that the second-order conditions are satisfied. (1) Define (p, q) =...
3 Find the minimum and maximum values of the function f(x, y)= x +y subject to the constraint x + y 1250. Use the Lagrange Equations. (Use symbolic notation and fractions where needed.) maximum value of the function minimum value of the function cBook Hint
3 Find the minimum and maximum values of the function f(x, y)= x +y subject to the constraint x + y 1250. Use the Lagrange Equations. (Use symbolic notation and fractions where needed.) maximum value...
1)A farmer must decide what combination of seed, water, fertilizer, and pest control will be most profitable for the upcoming year. following table; The local agricultural college did a study of this farmer's situation and prepared the Plan Cost/acre (S) Income/acre (S) 575 1700 1950 2325 900 2100 2250 2600 List the plans in order of most desirable to least, and briefly explain why. (2 pts) 2) A start-up company is planning on manufacturing a new product. the quantity that...
A one product company finds that its profit. P. in millions of dollars, is given by the following equation where x is the amount spent on advertising, in P(x,y)= 4xy +50y - 9y? 10 1 y-80 Find the values of x and y that maximize the profit function, the maximized function value, and interpret these results. The maximum function value occurs at POD-1 The maximum profit of $is attained when is spent on advertising and the company charges per item...
3. A monopolist sells two products x and y for which the demand functions are P. 84-4x, P. = 127-3y, and the combined total cost function is TC = 2x² + 3xy +4 y2 +64. a. Find the profit function. b. Find the profit-maximizing level of output for each product. c. Find the profit-maximizing price for each product. d. Find the maximum profit.
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