Question

Mr. Mwihaki started a business on 1st January 2017.during the first month of trading the following transactions took place. Wrote a personal cheque and deposited into the business bank account Sh800,000 Withdrew Sh200, 000 from the bank and put it into the cash till. 2nd Jan, Purchased goods by cheque Sh70,000 3rd Jan, Bought furniture for cash Sh25,000 3rd Jan, Bought equipment on credit Sh75,000 4th Jan, Sold goods for cash Sh100,000 5th Jan, Bought goods and paid by cheque Sh.200,000 6th Jan, Bought a motor van paying by cheque Sh.210,000 10th Jan, Obtain loan from the bank Sh.500,000 12th Jan, Sold goods on credit Sh75,000 16th Jan, Sold goods payment made by cheque Sh.100,000 16th Jan, Received a cheque from a debtor Sh.60,000 30th Jan, Took Sh10,000 from the cash till personal use. Using the given details write up a two column cash book for Mr. Mwihaki for the month of January 2017

Answer 1

Answer:

Quick-Print Limited is a clothing manufacturing company that specializes in producing commemorative shirts immediately following major sporting events like the World Cup, Asian Games etc. The company has been contracted to produce garments for the winning cricket team in the coming World Cup.

The items produced include two types of sweatshirts, one with silk screen printing on the front (F) and one with print on both back and front sides (B/F), and two types of T-shirts of the same configuration (F and B/F).

The company has to complete all production within 48 hours after the game, at which time a trailer truck will pick up the shirts. The company will work around the clock. The truck has enough capacity to accommodate 1,400 standard-size boxes. A standard-size box holds 12 garments. The company has budgeted Rs. 125,000 for the production run.

The resource requirements, unit costs, and profit for each type of shirt are shown in the following table.

Processing Time (hr)

Cost (Rs)

Profit (Rs)

Sweatshirt–F

0.22

36

90

Sweatshirt–B/F

0.36

48

126

T-shirt–F

0.06

26

44

T-shirt–B/F

0.32

38

62

The company wants to know how many units of each type of shirt to produce in order to maximize the total profit.

Formulate the above problem as a Linear Program.

NOTE: Clearly define the variables and label each constraint.