1.
a=2, x=55/2=27.50, profit=27.50*11=302.5
2.
a=3, x=55/3=18.33, profit=11*18.33=201.63
3.
a=4, x=55/4=13.75, profit=11*13.75=151.25
4.
a=5, x=55/5=11.00, profit=11*11.00=121.00
Problem 1-09 (Algorithmic) Suppose the following is the mathematical model: Max 11>x ax 55 where a...
Problem 3-12 (Algorithmic) Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $67, $93, and $129, respectively. The production requirements per unit are as follows: Number of Manufacturing Number of Cooling Coils Time (hours) Fans Economy Standard 12 Deluxe 14 For the coming production period, the company has 250 fan motors, 360 cooling coils, and 1800 hours of manufacturing time available. How many economy models (E),...
Problem 3-12 (Algorithmic) Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $69, 91, and $127, respectively. The production requirements per unit are as follows: Number ofNumber of Manufacturing Fans Cooling Coils Time (hours) Economy 8 Standard 12 Deluxe 14 4 For the coming production period, the company has 200 fan motors, 340 cooling coils, and 2800 hours of manufacturing time available. How many economy models...
Problem 3-13 (Algorithmic) Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $59, $89, and $137, respectively. The production requirements per unit are as follows: Number of Fans Number of Cooling Coils Manufacturing Time (hours) Economy 1 1 8 Standard 1 2 12 Deluxe 1 4 14 For the coming production period, the company has 240 fan motors, 380 cooling coils, and 2500 hours of manufacturing...
2. Consider the following linear model where c has not yet been defined. Max z = C1x1 + x2 s.t. X1 + X2 <6 X1 + 2.5x2 < 10 X1 2 0,X220 Use the graphical approach that we covered to find the optimal solution, x*=(x,x) for all values of - Sci so Hint: First draw the feasible region and notice that there are only a few corner points that can be the optimal solution. Also remember that if the objective...
2. Consider the following linear model where c has not yet been defined. Max z = C1x1 + x2 s.t. X1 + X2 <6 X1 + 2.5x2 < 10 X1 2 0,X220 Use the graphical approach that we covered to find the optimal solution, x*=(x,x) for all values of - Sci so Hint: First draw the feasible region and notice that there are only a few corner points that can be the optimal solution. Also remember that if the objective...
Problem 3-12 (Algorithmic) uality Air Conditioning manufactures three home air conditioners: an economy mode a standard model and a deluxe mo e The profits per nit are S,, 4 , and respectively. The production requirements per unit are as follows: Number of Number of Manufacturing Cooling Coils Time (hours) Fans Economy 8 Standard 12 Deluxe 4 14 For the coming production period, the company has 320 fan motors, 380 cooling coils, and 3200 hours of manufacturing time available. How many...
2. Consider the following linear model where C1 has not yet been defined. Max s.t. z = C1x1 + x2 X1 + x2 = 6 X1 + 2.5x2 < 10 X1 > 0, x2 > 0 Use the graphical approach that we covered to find the optimal solution, x*=(x1, xỉ) for all values of -00 < ci so. Hint: First draw the feasible region and notice that there are only a few corner points that can be the optimal solution....
Your problem is to find the optimal solution to the following linear programming model where X, Y and Z represent the amounts of products X, Y and Z to produce in order to minimize some cost. Min 4X + 2Y + 6Z s.t. 6X + 7Y + 10Z ≤ 80 (1) 2X + 4Y + 3Z ≤ 35 (2) 4X + 3Y + 4Z ≥ 30 (3) 3X + 2Y + 6Z ≥ 40 (4) X,Y,Z ≥...
Problem 1 (10 pts): Construct a mathematical model (define your
variables, write an objective function and constraints).
Problem 2 (10 pts): Use Excel's Solver tool to determine the
optimal solution that will maximize profit. Summarize your results.
In the Solver toolbox, choose "Simplex LP".
Problem 3 (10 pts): Discuss the effect on the optimal solution
in Problem 2 if the profit on a small table increases to $12. In
the Solver toolbox, rchoose "Simplex LP". If you Copy/Paste from
Problem...
Consider the following linear regression model 1. For any X x, let Y xBU, where 3 E R*. 2. X is exogenous 3. The probability model is {f(u;0) is a distribution on R: Ef [U] = 0, VAR, [U] = 02,0 > 0}. 4. Sampling model: Y} anidependent sample, sequentially generated using Yi x Ui,where the U IID(0,0) are (i) Let K 0 be a given number. We wish to estimate B using least-squares subject to the constraint 6BK2. Write...