Page 280 Problem #7-14 Using the following equations, graph the constraints, and solve using the corner point approach.
Let: X1 = number of air conditioners to be produced
X2 = number of fans to be produced
Maximize profit = 25X1 + 15X2
subject to 3X1 + 2X2 <= 240 (wiring)
2X1 + 1X2 <= 140 (drilling)
X1, X2 >= 0
Page 280 Problem #7-14 Using the following equations, graph the constraints, and sol...
Problem #7-17 Using the following equations, graph the constraints, and solve using the corner point approach. X1 = number of benches produced X2 = number of tables produced Maximize profit = $9X1 + $20X2 subject to 4X1 + 6X2 <= 1,200 hours 10X1 + 35X2 <= 3,500 feet X1, X2 >= 0
Page 281 Problem #7-18 Using the following equations, graph the constraints, and solve using the corner point approach. NOTE: is a minimization problem like Holiday Turkey example in book X1 = number of undergraduate courses X2 = number of graduate courses Minimize cost = $2,500X1 + $3,000X2 subject to X1 >= 30 X2 >= 20 X1 + X2 >= 60 X1, X2 >= 0
Solve the following using graphing techniques: a. Maximize 2x1 + 3x2 subject to the constraints, 2x1 + 2x2 < 8,X1 + 2x25 4, and X1 > 3, x2 > 0
Need optimal solution for x,y, and value Z The Attaran Corporation manufactures two electrical products: portable air conditioners and portable heaters. The assembly process for each is similar in that both require a certain amount of wiring and drilling. Each air conditioner takes 3 hours of wiring and 2 hours of drilling. Each heater must go through 2 hours of wiring and 1 hour of drilling During the next production period, 240 hours of wiring time are available and up...
please Question 1 Convert the constraints into linear equations by using slack variables. Maximize z = 2X1 +8X2 Subject to:X1 + 6x2 s 15 2x1 + 9x2 s 25 X120,X220 X1 + 6x2 +51 s 15 2X1 + 9x2525 25 x1 +6X2+S1 = 15 2X1 +9x2 +52 = 25 O X1 +6X2 + 512 15 2X1 + 9x2 +522 25 X1 +6x2 = S1 +15 2x1 + 9x2 = S2 + 25 Question 2 Introduce slack variables as necessary and...
Question 12 Convert the constraints into linear equations by using slack variables. Maximize z = X1 + 2x2 + 3x3 Subject to: X1 + 9x2 + 3x3 = 40 6X1 + X2 + 6x3 s 50 X120,X220, X320 O X1 + 9x2 + 3x3 = 51 +40 6x1 + x2 +6x3 = S2 + 50 O X1 +9x2 + 3x3 +51 = 40 6x1 + x2 + 6x3 +S2 = 50 X1 +9x2 + 3x3 +51 = 40 6X1 +...
Electrocomp’s management realizes that it forgot to include two critical constraints (see Problem 7-14). In particular, management decides that there should be a minimum number of air conditioners produced in order to fulfill a contract. Also, due to an oversup- ply of fans in the preceding period, a limit should be placed on the total number of fans produced. (a) If Electrocomp decides that at least 20 air con- ditioners should be produced but no more than 80 fans should...
Problem #5 -- Consider the following linear programming problem: Maximize Z = 2x1 + 4x2 + 3x3 subject to: X1 + 3x2 + 2x3 S 30 best to X1 + x2 + x3 S 24 3x1 + 5x2 + 3x3 5 60 and X120, X220, X3 2 0. You are given the information that x > 0, X2 = 0, and x3 >O in the optimal solution. Using the given information and the theory of the simplex method, analyze the...
.EI ot slimie Final Operations Management Similar to 7-14:0 The Electrocomp Corporation manufactures two electrical products: air conditioners and large fans. The assembly process for each is similar in that both require a certain amount of wiring and driling. Each air conditioner takes 6 hours of wiring and 2 hours of drilling Each fan must go through 2 hours of wiring and 1 hours of drilling, During the next production period, 240 hours of wiring time are available and up...
Solve the following model using linear programming (allow for continuous values and determine the values of the decision variables and objective function. Then, round the decision variables values down to the nearest integer and determine the value of the decision variables and objective function, this is an approximate answer to solving the model using integer programming. Observe if the rounding provides a "feasible solution, all constraints are satisfied. Finally, solve the model using integer programming and determine the values of...