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16) Suppose the total cost of producing T-shirts can be represented as TC = 50 + 2q,
where q is output level. Which of the following statements is TRUE at all levels of
output?
A) MC = AVC
B) MC = AC
C) MC > AFC.
D) All of the above.
E) A and B only
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- Suppose the fixed cost of building a nuclear power plant is $1 billion. Suppose also that the only variable cost is the labor of Homer Simpson, and he earns $10 per hour. If the plant generates 1,000 kilowatts each hour, and has already generated 1 billion kilowatts, what can you say about the marginal cost of the next kilowatt? (A) The marginal cost is equal to $0.01. (B) The marginal cost is equal to $1.01. D The marginal cost is falling. The marginal cost is rising.Suppose that the dollar cost of producing x appliances is c(x) = 1000 + 70x-0.1x². a. Find the average cost per appliance of producing the first 100 appliances. b. Find the marginal cost when 100 appliances are produced. c. Show that the marginal cost when 100 appliances are produced is approximately the cost of producing one more appliance after the first 100 have been made, by calculating the latter cost directly. CUCKO The average cost per appliance of producing the first 100 appliances is $ (Round to the nearest cent as needed.) /appliance.Assume the cost of making 30 belts $800 the cost of makin 35 belts $900 and the cost equation is linear. The belts are sold for$ 27 each. a)find the marginal cost b)find a linear equation in slope-intercept, form that represent the total Cost of making will c) What is the fixed cost? d) find a profit in slope- intercept that will represent the profit if x belt are made and sold? e) Find the break even point?
- Can you differentiate which is the best and which is the worst between Constant Cost Condition, Increasing Cost Condition, and Decreasing Cost Condition?As a producer and seller of some commodity, you have learned that, if you produce and sell x itmes in a particular month, the following functions can be used to find the cost and revenue: Revenue: R(x)=150x-x^2 and Cost: C(x)=3000+20x. (a) Write a simplified formula for your profit in a particular month, P(x)=R(x)- C(x) (b) Find the "break-even" point(s) (c) How many items should you produce and sell in a month in order to achieve a maximum profit? (d) What is the maximum possible monthly profit? This is the problem and I cannot solve the c and d, could you please help me?The''Sad Student'' Company finds that it costs a total of (q)=9720+500q-1.5q^(2)+0.005q^(3) Dollars to produce q lots of its latest board game named ''Calculus Teacher Shooter'' each lot of 100 games. A)Analyze the behavior of cost function. B)Interpret the constant term in the expression C C)Analyze the behavior of the marginal cost as a function of the output q. D)Interpret the effect of the constant term in the expression of total cost function on marginal cost function. E)Analyze the behavior average cost funtion. F)Analyze interaction of marginal cost and average cost numerically; and derive the formula of this relationship with respect to relevant mathematical economics theory and interpret your formula.
- can you help me with is question and can you show all the steps, please? Aaryan is considering running an Economics home-tuition service. The weekly costs are: $440 for car hire. $5 per client for petrol and the supply of materials (paper and other stationery). Aaryan plans to offer the services for $45 per lesson, as (A) Write down the total cost as a function, in terms of n, being the number of students. (B) Write down the total revenue as a function, in terms of n, for n students. (C) Complete the table below by calculating the total cost, the total revenue, and the profit for n students n students 0 5 10 15 Cost(n) Revenue(n) Profit(n)2. If c=3q-3q2+q3is a cost function, when is marginal cost decreasing?86. Average and marginal costs. The total daily cost (in dollars) of producing x city bikes is given by C(x) = 500 + 2x + 0.2x² (A) Sketch the graphs of the average cost function and the marginal cost function on the same set of coordinate axes. Include any oblique asymptotes. (B) Find the minimum average cost.
- 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 $11.2 The cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 20 + 3,000x + 0.01x2. (a) Find the marginal cost function C'(x). HINT [See Example 1.] C'(x) = Use it to estimate how fast the cost is increasing when x = 4. thousand dollars per television commercialCompare this with the exact cost of airing the fifth commercial. The cost is going up at the rate of $ per television commercial. The exact cost of airing the fifth commercial is $ . Thus, there is a difference of $ . (b) Find the average cost function C, and evaluate C(4). HINT [See Example 2.] C(x) = C(4) = thousand dollars per television commercial What does the answer tell you? The average cost of airing the first four commercials is $ per commercial.Refer to the figure. What is the marginal cost of the 15th hour spent on this activity? (Round to the nearest tenth) Total Cost E b n Z a=122 b= 82 c=56 x=9 y = 15 z = 19 Hours
