Let H = G - G be the amount that gunk, G, is reduced from the competitive level, G. The benefit of reducing gunk is B(H) = AH*. The cost is C(H) = H® . If the benefit is increasing but at a diminishing rate as H increases, and the cost is rising at an increasing rate, what are the possible ranges of values for A, x, and B?
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- Technology B uses 4 workers and 2 tonnes of coal to produce 100 meters of cloth. The worker's wages cost $10 and coal costs $5. We have previously calculated that the total cost of production is $50 and that the vertical intercept of the isocost line is 10.If there was a technology that used 1 more worker, how much would it have to decrease the coal required in order to cost the same? (Note: this is the absolute value of the slope of the isocost line.)Ain a community of 10000 people, each is willing to pay Ksh 10 for each well dug. The cost of digging the wall is is given by C= Q2+20Q. Calculate the pareto efficiecy number of wells to be dug. If the government want to dug the well at a minimal cost, how many walls will it dig and how much will it spen if the projet is given to a private, profit making organization, how many well would the firm dig?It is estimated that a grocer’s daily profit from the sale of two brands of cherry juice is given by thefunction:P(x,y) = (x - 30)(70 - 5x + 4y) + (y – 40)(80 + 6x – 7y) centswhere x is the price per can of Brand V Juice and y is the price per can of Brand Triple V Juice. CurrentlyBrand V Juice sells for 50 cents per can and Brand Triple V Juice sells for 52 cents per can.i. Use marginal analysis to estimate the change in the daily profit that will result if the grocer raises theprice of Brand Triple V by one cent per can while keeping the price of Brand V unchanged.ii. Find a stationary point of the daily profit function. Classify this stationary point.
- = 2. The cost of operating a jet-powered commercial (passenger- carrying) airplane varies as the three-halves (3/2) power of its velocity; specifically, Co kny3/2, where n is the trip length in miles, k is a constant of proportionality, and vis velocity in miles per hour. It is known that at 400 miles per hour, the average cost of operation is $300 per mile. The company that owns the aircraft wants to minimize the cost of operation, but that cost must be balanced against the cost of the passengers' time (CC), which has been set at $300,000 per hour. At what velocity should the trip be planned to minimize the total cost, which is the sum of the cost of operating the airplane and the cost of passengers' time?A company finds that it can sell out a certain product that it produces, at the rate of Tk. 2 per unit. 1 It estimates the cost function of the product to be Tk. 1000 + 2 50 for q units produced. (i) Find the expression for the total profit, if q units are produced and sold. (ii) Find the number of units produced that will maximize profit. (iii)What is the amount of this maximum profit? (iv) What would be the profit if 6000 units were produced?AVC=10-0.03Q + 0.00005Q2TFC=60What is the TC function?What is the minimum AVC?
- Hi, I have been trying to compute the optimal values from this lagrangian. But I can't seem to find a way to get the values from the answer key. I attached both the question and answers. Could you please explain to me how to get these values from the first-order conditions? Thank you very muchWhat is the average variable cost of washing 90 cars? is the answer 4 or .7?A small business sells T-shirts during the Lasallian Week Festival. It is estimated that the variable cost to produce one T-shirt is 175 pesos. Also, the total cost to produce 60 T-Shirts is 15000 pesos. T-shirts are sold at a price of 456.25 pesos each. a. Find the total cost model. C(x)= b. How many T-shirts must be sold to break even? T-shirts c. How many T-shirts must be sold to make profit of 9000 pesos? 32 T-shirt (note: do not use space and comma for your answer)
- A company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately p = 75 – 0.1D units (D is the demand or quantity sold per month and p is the price in dollars). The fixed cost is $1,000 per month and the variable cost is $30 per unit produced. Solve, a. What is the maximum profit per month related to thisproduct? b. What is the range of profitable demand during a month?The cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 20 + 3,000x + 0.09x² (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 commercial Compare this with the exact cost of alring 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.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?