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a) Use a diagram discuss and explain why marginal cost above its minimum average variable cost is called supply curve. (6)


b) Explain competitive firm short –run shutdown decision rule. (4)

Tungsten (MW = 183.84 g/mol) crystallizes in a body centered cubic crystal lattice with a unit cube side length is 3.16 Angstrom. What is the density of the metal?


How many moles of carbon dioxide (MW = 44.0 g/mol) is produced when 150.0 grams of pentane (MW = 72.0 g/mol) is burned completely in air?


a) Use a diagram discuss and explain why marginal cost above its minimum average variable cost is called supply curve. (6)


b) Explain competitive firm short –run shutdown decision rule. (4)

Carbon Dioxide at P1= 500 psia, V1= 1 ft^3/min, and t1=200 F are cooled at constant volume to 130 F in an internally reversible manner. For mdot=0.9 lbm/min, determine pdv and - Vdp. For nonflow process, find p2, DELTA u, DELTA h and Q. Also compute delta S.


Suppose a consumer has income of $120 per period, and faces prices, price of X=2 and Price of Z =3. Her goal is to maximize her utility, described by the function U = 10X0.5Z0.5.


i. What is the consumer’s budget constraint? (3)


ii. State the formula for finding marginal utilities for goods X and Z (2)


iii. Calculate the marginal utilities for goods X and Z (4)


iv. State the utility maximizing condition for this consumer (4).


v. Calculate the utility maximizing bundle (X*, Z*) (13)

Given the variable (X = 2, 4, 6, 8) and its corresponding probabilities {P(X) = 1/5, 3/10, 3/10, 1/5}, what will be the computed STANDARD DEVIATION


Suzan is taking part in five competitions. The probability of her winning any competition is 0.4. (a) Find the probability of her winning at most two competitions. (3 marks) (b) Find the average and standard deviation of this distribution (3 mark


The average number of people arriving at a fast-food drive-thru in any given 10-minute interval is 4 customers. Find the probability that at least two customers will arrive in the fast-food drive-thru in any given 15-minute interval. 


Find a partial differential equation by eliminating a and b from the equations

z^2 = ax^3 + by^3 + ab.


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