Business, 16.06.2020 18:57 sidemen10117

A commercial printing firm is trying to determine the best mix of printing jobs it should seek, given its current capacity constraints in its four capital-intensive departments: typesetting, camera, pressroom, and bindery. It has classified its commercial work into three classes: A, B, and C, each requiring different amounts of time in the four major departments. The production requirements in hours per unit of product are as follows: Department A B C
Typesetting 0 2 3
Camera 3 1 3
Pressroom 3 6 2
Bindery 5 4 4

Assuming these units of work are produced using regular time, the contribution to profit R2 000f for each unit of Class A work, R3 000 for each unit of Class b work and R1 000 for each unit of Class C work. The firm currently has the following regular-time capacity (in hours) available in each department for the next time period.

Department Regular-time
Typesetting 40
Camera 60
Pressroom 200
Bindery 160

In addition to this regular time, the firm could utilise an overtime shift in typesetting which would make available an addition 35 hours in that department. The premium for this overtime (I e incremental costs in addition to regular time) would be R40/hour

Since the firm wants to find the optimal work mix for its equipment, management assumes it can sell all it produces

However to satisfy long-established customers, management decides to produce at least 10 units of each class of work in each time period.

Assuming that the firm wants to maximise its contribution to profit and overhead, we can formulate the above situation as a linear programming model as follows

Decision variables

XAR = Number of units of Class A work produced on regular time
XBR = Number of units of Class B work produced on regular time
XCR = Number of units of Class C work produced on regular time
XBO = Number of units of Class B work produced on overtime typesetting
XCO = Number of units of Class C work produced on overtime typesetting

Required:
a. Formulate LP model
b. What is the optimal production mix?
c. Is there any unused production capacity?
d. If the printing firm has a chance to sell a new type of work that requires no hours of typesetting, 2 hours of camera time, 2 hours in the pressroom and 1 hour of bindery time, what profit is required to make it attractive to print this type of work? Give details on all the constraints.
e. Is it advisable to use sensitivity analysis? Why

Answers: 3

Show answers

Another question on Business

Business, 21.06.2019 21:30

The beach dude (bd) employs a legion of current and former surfers as salespeople who push its surfing-oriented products to various customers (usually retail outlets). this case describes bd's sales and collection process. each bd salesperson works with a specific group of customers throughout the year. in fact, they often surf with their customers to try out the latest surf gear. the bd salespeople act laid-back, but they work hard for their sales. each sale often involves hours of surfing with their customers while the customers sample all the latest surf wear. because bd makes the best surfing products, the customers look forward to the visits from the bd salespeople. and they often buy a lot of gear. each sale is identified by a unique invoice number and usually involves many different products. customers pay for each sale in full within 30 days, but they can combine payments for multiple sales. bd manages its clothing inventory by item (e.g., xl bd surfer logo t-shirts), identified by product number, but it also classifies the items by clothing line (the lines are differentiated by price points as well as the intended use of the clothing, e.g., surfing products, casual wear, . draw a uml class diagram that describes the beach dudes sales and collection process.b. using microsoft access, implement a relational database from your uml class diagram. identify at least three fields per table.c. describe how you would use the relational database to determine the beach dude’s accounts receivable.

Answers: 3

Answer

Business, 22.06.2019 09:00

How does the plaintiff, mrs. wood, try to implicate the gun manufacturer ( who testifies, what do they say, what evidence is introduced)?

Answers: 2

Answer

Business, 23.06.2019 02:00

When the two countries did not specialize, the total production of jeans was 23 million pairs per month, and the total production of corn was 68 million bushels per month. because of specialization, the total production of jeans has increased by million pairs per month, and the total production of corn has increased by million bushels per month. because the two countries produce more jeans and more corn under specialization, each country is able to gain from trade?

Answers: 1

Answer

Business, 23.06.2019 02:30

Interview notes mike is 50 and made $36,000 in wages in 2017. he is single and pays all the cost of keeping up his home. mike's daughter, brittany, lived with mike all year. brittany's son, hayden, was born in november 2017. hayden lived in mike's home since birth. brittany is 25, single, and had $1,500 in wages in 2017. she is not disabled. mike provides more than half of the support for both brittany and hayden. mike, brittany, and hayden are all u.s. citizens with valid social security numbers. 4. who can mike claim as a qualifying child(ren) for the earned income credit?

Answers: 1

Answer

You know the right answer?

A commercial printing firm is trying to determine the best mix of printing jobs it should seek, give...

Questions