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  1. ) The following table shows the number of units produced each month and the total incurred.


MONTH UNITS COST

JUNE 200 50,000

JULY 500 75,000

AUGUST 300 55,000

SEPTEMBER 800 95,000

OCTOBER 700 80,000

NOVERMBER 600 80,000

DECEMBER 400 60,000


Required

              I. Estimate the variable cost per unit and the fixed cost per month use high low method. (6mks)


             ii.  Calculate the regression line Y= a+bx (6mks)



(b) Explain four purpose of transfer pricing (8mks)




If a consumer is consuming two commodities X and Y and his utility function U (X,Y)=2XY+6.if the price of the two commodity are 2 and 6 respectively, and the consumer has a total income of 80 birr to be spent on the two goods, a)find the utility maximizing Quantity of good X and Y. b) find the MRSxy at equilibrium. c) find the MRSyx at equilibrium.


Consider a market where supply and demand are given by Qx s = -16+Px and Qd=92-2Px suppose the gouvernment imposes a price floor of $40, and agrees to purchase any and all units consumers do not buy at the floor price of $40 per unit. determine the cost to the gouvernment of buying firm's unsold units. Compoute the lost social welfare (deadweight loss) that stems from the $40 price floor


Write a function that TAKES a list of numbers and RETURNS the addition of all its element

Sri Lanka faces severe



hardship in finding foreign exchange to repay debt and payment for important imports. How is current economics situation in Sri lanka

Country’s agriculture seems facing a troublesome path. And So many issues in the economy”.



Write an essay on Sri Lanka’s present economic crisis.

Explain the following concepts using examples:


i. Mutually exclusive events. (3 Marks)


ii. Independent events. (3 Marks)


250 members of a certain society have voted to elect a new chairman. Each member may

vote for either one or two candidates. The candidate elected is the one who polls most votes.

Three candidates x, y z stood for election and when the votes were counted, it was found that:

- 59 voted for y only, 37 voted for z only

- 12 voted for x and y, 14 voted for x and z

- 147 voted for either x or y or both x and y but not for z

- 102 voted for y or z or both but not for x


Required

i. Present the information in a Venn diagram. (6 Marks)

ii. How many voters did not vote? (4 Marks)

iii. How many voters voted for x only? (2 Marks)

iv. Who won the elections? (2 Marks)


A 70 lb bag of rice is being pulled by a person by applying a force F at an angle θ as shown. The force required to drag the bag is given by: F(θ)=70μ/μsinθ+cosθ where μ=0.35 is the friction coefficient. (a) Determine F(θ) for θ= 5°, 10°, 15°, 20°, 25°, 30°, 35° (b) Determine the angle θ where F is minimum. Do it by creating a vector θ with elements ranging from 5°to 35°and spacing of 0.01. CalculateF for each value of θ and then find the maximum F and associated θ with MATLAB's built-in function max

If the kinematic viscosity of water at S.TP is 1:0038 x 10 m²/a and the mass density is 998.23 kg/m³, calculate its absolute viscosity

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