Ulsan Incorporation is a small manufacture of golf equipment whose management has decided to move into the market for me

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Ulsan Incorporation is a small manufacture of golf equipment
whose management has decided to move into the market for medium-
and high-priced golf bags. Ulsan Incorporation’s distributor is
enthusiastic about the new product line and has agreed to buy all
the golf bags Ulsan Incorporation produces during the production
& distribution period. After a through consideration of the
steps involved in manufacturing a golf bag, management determined
that each golf bag produced will require A, B, C, and D operations.
The director of manufacturing analyzed each of the operations and
concluded that, when the company produces a medium-priced standard
golf bag, each bag will require 7/10 hour in A operation
(department), 1/2 hour in B operation (department), 1 hour in C
operation (department), and 1/10 hour in D operation (department).
The high-priced deluxe golf bag will require each bag will require
1 hour in A operation (department), 5/6 hour in B operation
(department), 2/3 hour in C operation (department), and 1/4 hour in
D operation (department) when the company produces a high-priced
deluxe (golf bag) model. Ulsan Incorporation is constrained by a
limited number of hours available in each operation department.
After studying departmental workload projections, the director of
manufacturing estimates that 630 hours for A operation, 600 hours
for B operation, 708 hours for C operation, and 135 hours for D
operation will be available for the production of golf bags during
the period. The accounting department analyzed the problem data,
assigned all relevant variable costs, and arrived at prices for
both golf bags that will result in a unit profit of $10 for every
standard golf bag and $9 for every deluxe golf bag produced. The
management wants to develop a mathematical model of the Ulsan
Incorporation problem that can be used to determine the number of
standard golf bags and deluxe golf bags to produce in order to
maximize the total profit.
1. Develop an LP model of the Ulsan Incorporation problem
2. Sole the LP model which is suggested in 1) by the graphical
solution procedure
3. What are the extreme points? (specify their coordinates)
4.. What are the values of slack variables?
5. Let’s assume that the unit profit for the standard golf
bag has been decreased to $6.30. then what is the optimal solution?
Solve this revised LP model by the graphical solution procedure. Is
(the number of standard golf bags=540, and the number of deluxe
golf bags=252) optimal?
6. What are the range of optimality for the standard golf bags
and the deluxe golf bags?