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![20. If total cost is given by TC(Q) = a + bQ - cQ² + dQ3, then at what quantity is average variable
cost minimized?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3830874b-9682-48b0-836e-e7ab54ec9fc5%2F58990bd0-6094-4258-a228-445e0fc91d0c%2F8w46m8l_processed.jpeg&w=3840&q=75)
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- Which costs are measured on per-unit basis: fixed costs, average cost, avenge variable cost, variable costs, and marginal cost?What shapes would you generally expect each of the following cost curves to have: fixed costs, variable costs, marginal costs, average total costs, and average variable costs?Average cost curves (except for avenge fixed cost) tend to be U-shaped, decreasing and then increasing. Marginal cost curves have the same shape, though this may be harder to see since most of the marginal cost curve is increasing. Why do you think that average and marginal cost curves have the same general shape?
- What are explicit and implicit costs?The total cost (in dollars) of producing x food processors is C(x) = 1600 + 40x-0.1x². (A) Find the exact cost of producing the 61st food processor. (B) Use the marginal cost to approximate the cost of producing the 61st food processor. CHEO (A) The exact cost of producing the 61st food processor is $ (B) Using the marginal cost, the approximate cost of producing the 61st food processor is $It costs a baker a fixed cost of $420 and variable cost of $2.10 per cupcake. A cupcake issold for $4.90 each.(i) Make a table showing the total cost and the revenue obtained from producing 20,40,60,80 and 100 cupcakes.(ii) Write algebraic expressions representing the cost C and the revenue R as functions of the number of cupcakes X produced and number of cupcakes X sold respectively.(iii) Graph both functions on the same coordinate axes and from your graph determine the cordinate at which cost equals revenue.
- 1. The cost of producing 5 gallon water bottles is given by C(q) = 0.005q2 + 2q + 1000. If 2000 5 gallon water bottles are produced find the: (a) total cost (b) average cost (c) marginal cost (d) marginal average costTC = 81 + 16Q + 3Q2What is the average variable cost when 10 units are produced?TC 400+150Q-3Q2 +0.02Q3 400 Based on this equation, find total fixed cost calculate total fix cost -
- If total cost is $600 and output is 10 units Calculate average costswered Costs per Unit (dollars) 1000 900 800 700 600 500 400 300 200 100 0 4 Average total cost B Marginal cost Output (units per day) Average variable cost Average fixed cost 22 24 How many units of output should be produced per day if the price of the product is $600/unit? (provide an approximate answer in whole numbers)2. What is the relationship between the total cost curve, and the average cost per unit? Explain their relationship, and draw a diagram showing how the two are related. The total cost of production, in thousands of dollars, is C(q) = q³ 12q² + 60q, where q is in thousands and 0 ≤ q ≤ 8. (a) Graph C(q). Estimate visually the quantity at which average cost is minimized. (b) Determine analytically the exact value of q at which average cost is minimized.
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