Question Questions 27 & 28 apply to this information

Questions 27 & 28 apply to this information: Quill Manufacturing Business makes two models of marking pens. An unlabeled graph for this problem and the requirements for each lot of pens in the three manufacturing departments are given below. All three departments are necessary in the production of both types of pens. The profit for either kind of pen is $1000 per lot. An unlabeled graph for this problem is given below. The dotted line represents the objective function line.

27. What is the optimal production quantity of the Fliptop model?

A. 5 lots

B. 4 lots

C. 2 lots

D. 7 lots

E. 6 lots

28. If all the constraint inequalities in the original problem were ?, then the following is true:

A. The value of the objective function at the optimum solution is zero

B. There will be multiple optimal solutions

C. The problem will become unbounded

D. The problem has a unique solution

E. None of the above is true

29. Let M be the number of units to make and B be the number of units to buy of a certain product. If it costs $2 to make a unit and $3 to buy a unit and 4000 units are needed, the objective function of the LP model to minimize the cost of production would be,

A. Min 4000 (M + B)

B. Max 8000M + 12000B

C. Min 2M + 3B

D. Max 2M + 3B

E. Min 4000U -2M-3B

30. The Quiet Meadow Studio sells photographs and prints. It cost $20 to purchase each photograph and it takes 2 hours to frame it. It costs $25 to purchase each print and it takes 5 hours to frame it. The store has at most $400 to spend and at most 60 hours to frame.
It makes $30 profit on each photograph and $50 profit on each print. Determine the maximum profit.

A. 360

B. 600

C. 700

D. 740

E. 800

Questions 31 & 32 apply to this information: Quality Bike Maps has produced four map designs for the local area. A limited amount of time (in minutes) is allocated to the printing, cutting and folding of each map. Additionally, at least one thousand of map designs A, B, and C must be printed. The profit per map is $1 for A and B and $2 for C and D. The Excel output is provided below.

Max Profit = A + B + 2 C + 2 D

s.t.

A + 2 B + 3 C + 3 D< 15000 Print

2 A + 4 B + C + 3 D< 20000 Cut

3 A + 2 B + 5 C + 3 D< 20000 Fold

A> 1000 Print A

B> 1000 Print B

C> 1000 Print C

Our website has a team of professional writers who can help you write any of your homework. They will write your papers from scratch. We also have a team of editors just to make sure all papers are of HIGH QUALITY & PLAGIARISM FREE. To make an Order you only need to click Ask A Question and we will direct you to our Order Page at WriteDemy. Then fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.