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- What happens to GDDP if the investment icreases by 100 with MPC 0,8 and tax 20%A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The price the manufacturer can expect to receive for the machines will depend on the number of machines made available. It is estimated that if the manufacturer supplies x machines to the domestic market and y machines to the foreign market, the machines will 5y sell for 1200 - 3x + pesos per unit domestically, and 7 2x 2200 - 2y + pesos per unit abroad. 7 the rev (b) Evaluate Ry (100, 400) and interpret this value in the context of the problem.23. Guppse that fra,u)= T4. Find the maximum Value for fif x and y are constrained o sum to 1. Solve thiis problems in two ways : by substitutiou and by using the Logrange Multiplier method. X+y=1. F.y) =ry, 4=1-x. to -> %3D tx =-2x+1.maximum value → frx=o. X=E タニリニー 1-X-4 = 0 エ=f(Y,4)+A (1-g%-4) = x4ナA(1-%-4 ) = y-A, = x-1, of of 1-ベ-4 → 1-2y=0. X=立, %3D =0= y=X =07 X= À %3D #2-4. The dual problem to the one described in problem 2.3 is minimiz2e xty subject to xy =0.25 Solve thi problem using the Lagrangian technique. Then Compare the value You get tor the Logrange Multiplier wrth the value you got in Prolem 2-3. Explain the relatibuship between the two solutibns
- Suppose you currently earn taxable income of $100,000 per year. You are subject to an MTR of 50 percent. Currently, your ATR is 35 percent. Calculate your annual tax. Calculate the extra tax that you would pay per year if your annual income increased to $110,000. What is your ATR when your annual income is $110,000?(bIn an output maximization problem, the output f(x1, x2) = xx will be maximized subject to the budget constraint 2x, + 4x2 = 40 when x, = 10 unit and x2 = 5 unit. In this case, the Lagrange multiplier is 250 unit. What does this value of multiplier imply? %3DA sales supervisor whose monthly salary is ₱38,500.00 is paid 7% of his total sales and 3% of the total sales of his subordinates. If his total sales for the month amount to ₱250,000.00 and that of his subordinates is ₱425,000.00, determine the following: a. How much is his override?
- Siven that G=30, I=50,C = 0.7Y, +82,T = 0. IY + 20 Then the disposable income in the equilibrium level is (A) 400 (B) 320 (C) 60 (D) 34015) Reducing the maximum LTV is likely to ________ demand and thus ________ the housing price increase. A) decrease; slow down B) increase; slow down C) decrease; speed up D) increase; speed upIf MPC=0.8 what will be the value of investment multiplier (A) 4 (B) 5 (C) 3
- 21 If AE = 100+ 0.8Y and Y = 550, then unplanned inventories by and firms production. of tion2.6) Determine the tensile stress (MPa) experienced by cable AB if the diameter is 10mm. ว သ 2.6) Determine the tensile stress (MPa) experienced by cable AB if the diameter is 10 mm. 6 m 11 m 7 m B. 16 kN C35 20 kN 6 mIf the multiplier is 4, what is the MPC? O 0.25 O 0.5 O 0.75 1