rm wishes to choose at least 2 of 4 possible activities (A, B, C and D), the constraint XÃ + XB + XC + XD ≥ 2 enforce this relationship in a linear program. True or False True False

Which of the folowing linear programming model has an unbounded feasible region? = 3x + 2y subject to the following : O max z x+ y34 *< 10 – 4y x20 y20 O None of the above O max z = 3x + 2y subject to the following : x+ 2y <4 x- ys1 x20 y20 O max z = 4x +2y subject to the following : x + 2y 24 3x + y27 -x + 2y s7 x20 y20

A library must build shelving to shelve 200 4-inch highbooks, 100 8-inch high books, and 80 12-inch high books. 8.3 Maximum-Flow Problems 419Each book is 0.5 inch thick. The library has several ways tostore the books. For example, an 8-inch high shelf may bebuilt to store all books of height less than or equal to 8inches, and a 12-inch high shelf may be built for the 12-inchbooks. Alternatively, a 12-inch high shelf might be built tostore all books. The library believes it costs $2,300 to builda shelf and that a cost of $5 per square inch is incurred forbook storage. (Assume that the area required to store a bookis given by height of storage area times book’s thickness.)Formulate and solve a shortest-path problem that couldbe used to help the library determine how to shelve thebooks at minimum cost. (Hint: Have nodes 0, 4, 8, and 12,with cij being the total cost of shelving all books of height i and j on a single shelf.)

The sketch of a feasible region is given below, which point is not a point consistent with a production option for this programming problem? (0,10) (0,8) (0,0) O (0,6) O (4,0) O (4,2) O (6,0) (2,8) (6,4) (6,0) 27 (10,0) They are all in the feasible region.

A school is looking to hire teachers and TAs to fill its staffing needs for its summer program at minimum cost. The average monthly salary of a teacher is $2400 and the average monthly salary of a TA is $1100. The program can accommodate up to 45 staff members, needs at least 30 to run properly, and must have teachers (they will NOT employee only TAs...as much as it makes purely economic sense). They must have at least 10 TAs and may have up to 3 TA's for every 2 teachers. How many teachers and TAs the should the program hire to minimize costs. What is the minimum cost?

1. A specific assignment of values to decision variables is called what? a. Constraint           b. Feasible           c. Solution           d. None of the above           2. Which of the following must be true of a feasible solution   a. All of what Solver calls changing variables must be greater than 0 b. It is optimal           c. It violates no constraints         d. None of the above

An entrepreneur is starting up a new bakery featuring a special pastry from an old family recipe. The basic dough recipe requires 5cups of flour, which is 0.75kg, plus another 0.75kg consisting of all the other ingredients, sugar, butter, milk, yeast, fruits, nuts and spices, to make the dough for 15 medium pastries. She runs some tests to scale up her recipe. In her first test batch she creates dough for 300 pastries, how much flour, in kg, was required?

green vehicule Inc. manufactures electric cars and small delivery trucks. it has just opened a new factory where the C1 car and the T1 truck can both  be manufactured. to make either vehicle, processing in the assembly shop and the paint shop are required. It takes 1/40 of a day and 1/60 of a paint a truck of type T1 and a car of type C1 in the paint shop, respectively. it takes 1/50 of a day to assemble either type of vehicule in the assembly shop. A t1 truck and a C1 car yield profits of $300 and $220, respectively, per vehicule sold