Question

!!!PLEASE PROVIDE GRAPHS!!!

1. Suppose a small company is in the business of making golf bags to be sold at a local golf course where state championships are often held. They make 2 types of golf bags, a standard bag and a deluxe bag. The table below gives the information for limitations of materials and labor hours, and also for the profit for each type of bag. The materials and labor hours are the amount available per week, and the profit is the profit per week as well.

Units are per bag |
Standard Leather (square feet) |
Premium Leather (square feet) |
Cutting and Sewing Labor hours |
Finishing Labor Hours |
Profit |

Standard |
7 |
1 |
3 |
1 |
25 |

Deluxe |
0 |
9 |
4 |
2 |
65 |

Total available |
210 |
180 |
120 |
40 |

a. From the LP set up derived in HW 3, move your objective function in the direction of maximization on the graph to find the optimal solution. CIRCLE THE OPTIMAL SOLUTION ON THE GRAPH.

b. What are the binding constraints? Why are they binding?

c. Solve the binding constraints for the values of S and D to determine the optimal solution.

d. What is the value of the objective function at the optimal solution?

Answer #1

**(a)** Let S be the number of standard bags and D
be the number of Deluxe bags, then

the formulation of the problem is:

Subject to the constraints

The graph for the optimal solution is:

**(b)** The
constraints are binding as these are restrictions on the
availability of resources.

**(c)** The equations are:

Subject to the constraints

Solving the above constraints we get the feasible points as

O (0, 0), A(30, 0), B(30, 5) and C(0, 20).

**(d)** So, the value of objective functio at
optimal points

Points | Objective Function Z |

O (0, 0) | 0 |

A (30, 0) | 750 |

B (30, 5) | 1075 |

C (0, 20) | 1300 (Optimal
Solution) |

So, (0, 20) is optimal solution and the value of objective function is 1300 (Unit not known).

The Morton Supply Company produces clothing, footwear, and
accessories for dancing and gymnastics. They produce three models
of pointe shoes used by ballerinas to balance on the tips of their
toes. The shoes are produced from four materials: cardstock, satin,
plain fabric, and leather. The number of square inches of each type
of material used in each model of shoe, the amount of material
available, and the profit/model are shown below:
Material (measured in square inches)
Model 1
Model 2...

Problem #1
Tandy, Inc. is in the business of manufacturing men’s and
women’s leather computer bags. On January 1, 2019 they
started their new fiscal year. The following is their
trial balance as of December 31, 2018:
Account Dr Cr
Cash $ 43,200
Accounts
Receivable $ 9,000
Raw
Materials Inventory
(1) $ 20,240
Work
in Process Inv.
(2) $ 0
Finished
Goods Inv.
(3) $ 8,100
Land $
225,000
Equipment $
310,000
Vehicles $ 84,200
Accumulated
Depreciation $ 55,100
Long-term
Investments $ 78,500
Accounts
Payable $ 14,700
Wages
Payable $ 8,470
Mortgage
Payable
(4) $ 214,500
Common
Stock
(5) $ 25,000
APIC $ 125,000
Retained
Earnings $ 335,470
Totals $ 778,240 $ 778,240
Includes 2,860 feet of leather...

Problem #1
Tandy, Inc. is in the business of manufacturing men’s and
women’s leather computer bags. On January 1, 2019 they
started their new fiscal year. The following is their
trial balance as of December 31, 2018:
Account Dr Cr
Cash $ 43,200
Accounts
Receivable $ 9,000
Raw
Materials Inventory
(1) $ 20,240
Work
in Process Inv.
(2) $ 0
Finished
Goods Inv.
(3) $ 8,100
Land $
225,000
Equipment $
310,000
Vehicles $ 84,200
Accumulated
Depreciation $ 55,100
Long-term
Investments $ 78,500
Accounts
Payable $ 14,700
Wages
Payable $ 8,470
Mortgage
Payable
(4) $ 214,500
Common
Stock
(5) $ 25,000
APIC $ 125,000
Retained
Earnings $ 335,470
Totals $ 778,240 $ 778,240
Includes 2,860 feet of leather...

Tandy, Inc. is in the business of manufacturing men’s and
women’s leather computer bags. On January 1, 2019 they started
their new fiscal year. The following is their trial balance as of
December 31, 2018:
Account
Dr
Cr
Cash
$ 43,200
Accounts
Receivable
$ 9,000
Raw Materials Inventory
(1)
$ 20,240
Work in Process Inv.
(2)
$
0
Finished Goods Inv.
(3)
$ 8,100
Land
$ 225,000
Equipment
$ 310,000
Vehicles ...

Tandy, Inc. is in the business of manufacturing men’s and
women’s leather computer bags. On January 1, 2019 they started
their new fiscal year. The following is their trial balance as of
December 31, 2018:
Account
Dr
Cr
Cash
$ 43,200
Accounts
Receivable
$ 9,000
Raw Materials Inventory
(1)
$ 20,240
Work in Process Inv.
(2)
$
0
Finished Goods Inv.
(3)
$ 4,500
Land
$ 225,000
Equipment
$ 310,000
Vehicles ...

Notes: Requested info from Excel file must be copied/pasted (as
picture) to Word File. Neatness matters, the sloppy presentation
will be penalized even if your answers are correct.
Snow White and the Seven Dwarfs
Snow White Corporation makes is well known for making children’s
toy products. Presently the firm is planning to develop an optimal
production schedule to manufacture seven of their popular products
- Grumpy, Dopey, Doc, Happy, Bashful, Sneezy, and
Sleepy. Relevant product information is provided
below....

Constrained Optimization: Multiple Internal Constraints
Fisher Company produces two types of components for airplanes: A
and B, with unit contribution margins of $400 and $600,
respectively. The components pass through three sequential
processes: cutting, welding, and assembly. Data pertaining to these
processes and market demand are given below (weekly data).
Resource
Resource Available
Resource Usage (A)
Resource Usage (B)
Cutting
300 machine hours
Six hours
Ten hours
Welding
308 welding hours
Ten hours
Six hours
Assembly
400 labor hours
Four...

10) Natural Furniture Company manufactures three outdoor
products, chairs, benches, and tables. Each product must pass
through the following departments before it is shipped: sawing,
sanding, assembly, and painting. The time requirements (in hours)
are summarized in the tables below.
The production time available in each department each week and
the minimum weekly production requirement to fulfill contracts are
as follows:
Minimum
Capacity
Production
Department
(In Hours)
Product
Level
Sawing
450
Chairs
100
Sanding
400
Benches
50
Assembly
625
Tables...

P13-1 Prepare
budgeted income statement and supporting budgets.
Cook Farm Supply Company
manufactures and sells a pesticide called Snare. The following
data are available for
preparing budgets for Snare for the first 2 quarters of 2017.
1. Sales: quarter 1, 40,000
bags; quarter 2, 56,000 bags. Selling price is $60 per bag.
2. Direct materials: each bag
of Snare requires 4 pounds of Gumm at a cost of $3.80 per
pound
and 6 pounds of Tarr at $1.50 per...

Answer Questions 2 and 3 based on the following LP
problem.
Let P1 = number of Product 1 to be
produced
P2 =
number of Product 2 to be produced
P3 =
number of Product 3 to be produced
Maximize 100P1 + 120P2 +
90P3 Total
profit
Subject to
8P1 + 12P2 + 10P3 ≤
7280 Production budget
constraint
4P1 + 3P2 + 2P3 ≤ 1920 Labor
hours constraint
P1
> 200 Minimum
quantity needed...

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