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Principles of Economics
Principles of Economics
Gregory Mankiw 8th Edition
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Question 1: Given the following cost function:TC = 1500 + 15Q – 6Q2 + Q3i. Determine the total fixed cost for producing 1000 units of output and 500 units of output.ii. What is AFC at:a) 1000 units of outputb) 500 units of outputiii. Determine TVC, AVC, MC and AC at 50 units of output. Question 2: The demand function equation faced by PTCL for its computers is given by:P = 50,000 – 4Qi. Write the marginal revenue equationii. At what price and quantity marginal revenue will be zero?iii. At what price and quantity will total revenue be maximized? Question 3: Suppose the following demand and supply function:Qd = 750 – 25PQs = -300 + 20 Pi. Find equilibrium price and quantityii. Find consumer and producer surplus Question 4: Given production function:Q = L 3/4 . K1/4Find out the optimal quantities of the two factors using Lagrangian method, if it is given that price of labor is Rs.6 and price of capital is Rs.3 and total cost is equal to Rs.120.Question 5: Given the cost function isTC = 6L + 3KFind out the optimal quantities of the two factor using Lagrangian method, if it is given thatoutput is equal to 13.46 = L3/4 . K1/4 Question 6: Suppose that the production function of the firm is:Q = 100L1/2.K1/2K= 100, P = $1, w = $30 and r = $40. Determine the quantity of labor that the firm should hire in order to maximize the profits. What is the maximum profit of this firm? Question7: Solve the above problem for w = $50. Question 8: Given TC = 100 + 60Q – 12Q2 + Q3Finda. The equations of the TVC, AVC, and MC functions.b. The level of output at which AVC and MC are minimum, and prove that the AVC andMC curves are U-shaped.c. Find the AVC and MC for the level of output at which the AVC curve is minimum. Question 9: Answer the same questions as in the above problem if:TC = 120 + 50Q – 10Q2 + Q3 Question10: If the demand function faced by a firm is:Q = 90 – 2PTC = 2 + 57Q – 8Q2 + Q3Determine the level of output at which the firm maximizes the profit.

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Transcript

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00:01 Hello everyone.
00:02 So the question says that determine the total fixed cost for producing 1 ,000 units of output and 500 units of output.
00:10 And what is the afc at 1 ,000 units of output? 500 units of output.
00:16 As well as third says, determine tvc, avc, mc and ac at 50 units of output.
00:24 Now talking about total cost.
00:27 So it is given that total cost is equals to 1500 plus 15 ,000 plus 15 ,000.
00:33 Q minus 6 q square plus q q q fixed cost is the constant part of the total cost and constant part of total cost is 1500 so fixed cost is also 1500 now as we know that a fc is equals to fixed cost divided by q total fixed cost is constant irrespective of the quantity produce now total fixed cost at 1 ,000 units and 500 units is 15 so total fixed cost at q is equals to 1000 is fixed cost is equals to 1500 and when q is equals to 500 so fixed cost is equals to 1500 similarly a fc is equals to fixed cost divided by q so at q is equals to 1000 afc is equal to 1 ,000 afc is equals to 1500 divided by 1000 that is equals to 1 .5 whereas q is equals to 500 so afc is equals to 1500 divided by 500 that gives 3 so a a fc at q is equals to 1 ,000 will be 1 .5 and afc at q is equal to 500 will be 3.
02:39 Coming to the third part that says tvc is the variable part of total cost.
02:49 So, tvc is equals to total cost minus total fixed cost...
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