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A company produces two types of products; Uni and Duo at its factories in Jinja, and c) The optimal member of units for the company to produce each week can be Mbaram which are equipped with different types of machinery. At each factory, both shown to be; products undergo two production processes, machine hours available per week in each factory for both products are represented below, Mbarara Uni 7.5 16 Machine hours Duo 4 Jinja Noaran Process 1 300 300 Determine the optimal contribution and the resources used. Compare this with your solution to (a) above and make a recommendation to management. Procto: 2 300 324 The process times (in hours) for a unit of each type of product in each factory are; Jimia Mbarara Uni Duo Uni Doo Process 1 30 10 15 10 1E 9 In addition, each unit of [Ing and Dao uses 14 units of raw materials. Currently, 195 units of raw materials per week are allocated to the Jinja Factory and 294 units per week are allocated to the Mlbaraca Factory. At the moment, the company can not get more than 190 units of raw materials. It is estimated that the contribution to fixed overbeads and profit is UGX 300 Per Unit for the Uni and UGK: 200 Per Unit of Duo. Required ") Formulate a linear programming model for each factory and assuming a profit maximization objective, obtain by graphical means the optimal solutions. Determine the amount of resources used at each factory. b) Formulate (but do not solve) a single linear programming model for the counpay as a whole so that the model will determine the optimal allocation of the 490 units of raw material between the two factories.b) A trust officer, Mugisha for a major banking institution is planning the investment of a $ 1 million family trust for the coming year. The trust officer has identified a portfolio of stocks and another group of bonds that might be selected for investment. The family trust can be invested in stocks or bonds exclusively, or a mix of the two. This trust officer prefers to divide the funds in increments of 10 percent; that is, the family trust may be split 100 percent stocks /0 percent bonds, 90 percent stocks /10 percent bonds, 80 percent stocks /20 percent bonds, and so on. The trust officer has evaluated the relationship between the yields on the different investments and general economic conditions. Her judgment is as follows; 1) If the next year is characterized by solid growth in the economy, bonds will yield 12 percent and stocks 20 percent. 2) If the next year is characterized by inflation, bonds will yield 18 percent and stocks 10 percent. 3) If the next year is characterized by stagnation, bonds will yield 12 percent and stocks 8 percent. I) Formulate a payoff table where payoffs represent the annual yield, in dollars, associated with the different investment strategies and the occurrence of various economic conditions II) Determine the optimal investment strategy using the max-max, max-min, Hurwicz a = 0.4 , equally likely, and regret criteria. This should be solved basing on Decision Making without probability.Mr. John Kimuto bought goods worth Sh 50000 from Katune Electronics on 1st January 2007. He paid the amount on 15th January 2007. On 18th and 20th of the same month he bought other goods on credit worth Sh 14000 and 40000 respectively, and paid shs Sh 54000 by cheque on 28th. Prepare John kimuto's account in the books of Katune Electronics as at 30th January 2007Ordinary share capital (Sh 1 each) 42,000 Leasehold property at cost 75,000 Motor vans at cost(used for distribution) 2,500 Provision for depreciation motor van to 31 march 19x7 1,000 Administration expenses 7,650 Distribution expenses 10,000 Stock 31 march 19x7 12,000 Purchases 138,750 Sales 206,500 Director's remuneration 25,000 Rent receivables 3,600 Investment at cost 6,750 Investment income 340 7% debentures 15,000 Debenture interest 1,050 Bank interests 162 Bank overdraft 730 Debtors and creditors 31,000 24, 100 Interim dividend paid 1,260 Profit and loss account 17,852 Page 249 / 416 + 1,122 311, 122You ascertain the following: All the motor vans were purchased on 1 April 19x5. Depreciation has been and is to be provided at the rate of 20% per annum on cost from the date of purchase to the date of sale. On 31 march 19x8 one van, which had cost f 900 was sold for $550,as part settlement of the price of $ 800 of a new van, but no entry with regard to this transactions were made in the cashbooks. The estimated corporation tax liability for the year to March 10x8 is $12700 It is proposed to pay a final dividend of 10% for the year to 31 march 19x8 Stock at the lower of cost or net realizable value on 31 March 19x8 is $16700 Required: Prepare without taking into account the relevant statutory provisions: a) Profit and loss statement for the year ended 31 march 19x8. b ) A statement of financial position as at that date