2.Given PgK + PLL = B and the Cobb-Douglas production function q = AKªL®.i)Find the objective and constraint functions.ii) Explain whether this problem is to be maximised or minimised.

Given that,PKK+PLL=BThe Cobb-Douglas production functionq=AKαLβThe objective and constraint…

Answered: Given PgK + PLL = B and the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A store store is looking to stock the following: necklaces, bracelets, rings, and earrings. The objective function measuring profit and constraints are given below. Constraint 1 measures display space in units, constraint 2 measurestime to set up the display in minutes. Constraints 3 and 4 are marketing restrictions. Setup an LP program in Tab "#1" and run additional reports (leave reports in your file) in order to answer the following questions.MAX 100X1+120X2+150X3+125X4S.T.1) X1+2X2+2X3+2X4<1082) 3X1+5X2+X4<1203) X1+X3<254) X2+X3+X4>50a. How many necklaces should be stocked?b. Now many bracelets should be stocked?c. How many rings should be stocked?d. How many earrings should be stocked?e. How much space will be left unused?f. How much time will be used?g. By how much will the second marketing restriction be exceeded?h. What is the profit?i. To what value can the profit on necklaces drop before the solution would change?j. By how much can the profit on rings increase…
K b. Consider the following constrained maximization problem: The objective function is: f(x,y) = x Maximize the objective function subject to the constraint: 2x + 9y = 396 What is the slope of the level set of the objective function? (This is a fraction with an integer times y over an integer times x. The value in the numerator is negative.) 6 11 What is the slope of the constraint line? (This is negative and a fraction with no variables.) What is the relationship between x and y? (The answer is a fraction.) y=x What are the optimal values of x and y? irrect: 0
Suppose that the consumer has available income equal to Y, and the price of the goods is respectively p1 and p2. i. Derive the expressions of the quantities that maximise the utility of the consumer under the budget constraint. ii. Provide a diagram of the optimal solution.
Explain how the various changes to LP affect the optimal solution. a) Changes to the objective function coefficient b) Changes to the RHS of a constraint
A company produces three types of solar panels, types A, B and C at a profit of €50 ,€90 and €150 respectively. If X, is the number of type A generators, X, is the number of type B generators and X3 is the number of type C generators sold by the company then from the data in the simplex table below, determine the value of the maximum profit Z. X, X2 X3 S, S2 S3 X3 1 0.1 0.7 0.4 80 X, 1 0.8 0.4 0.3 60 X2 1 0.2 -0.6 0.8 40 P 5.1 3.9 7.6 Answer:
Write the transportation problem as a linear programming problem in terms and solvent of x and y and solve. (Indicate the number of units that should be transported from each factory to each depot and the total transportation cost.)
Huhuhuu solve for me all plz .....
Please refer to the picture for questions a, b, c, d. Thank you so much.

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Given PgK + PLL = B and the Cobb-Douglas production function q = AKªLB. i) Find the objective and constraint functions. ii) Explain whether this problem is to be maximised or minimised.