Marsha made an extensive study into the cost function of the dining halls on the A&M campus. She found Duncan Dining Hall has a cost function C(x) = —13 +1.33x + 0.006x2 where xis measured in output in hundreds of meals a week whenever 50 < x < 120 and C(x) is measured in thousands of dollars. Find the marginal cost function and use it to estimate the cost of the 101st hundred meals they make in a week. (Round your answers to two decimal places if necessary. All answers are in thousands of dollars.) 54 53 180 78 None of the above

Find the cost function for the marginal cost function. C'(x) = 0 06 e 0.01x 7 fixed cost is S7 C(x) =D

After running a successful pineapple business, Diddy looks for a new business venture. Now he wants to run gold mining business named "Diddy Bling Bling" which produces/sells raw gold. For simplicity, two types of inputs are required to produce raw gold (workers and gold mine). In short- run production, the size of gold mine is fixed while the number or workers can vary. After consulting his business consultant, Diddy computes the following cost table. The quantity of raw gold (kilograms) Averaged Total Cost (gold mine size=small) Averaged Total Cost (gold mine size-medium) Averaged Total Cost (gold mine size-Large) 1 700 1400 1800 2 600 1300 1700 3 500 1200 1600 4 400 1100 1500 5 300 1000 1400 6 400 900 1300 7 500 800 1200 8 610 600 1100 9 700 500 1000 10 800 400 900 11 900 375 800 12 1100 250 700 13 1200 400 600 14 1300 490 500 15 1400 600 400 16 1500 700 350 17 1600 800 300 18 1700 900 350 19 1800 1000 400 20 1900 1100 500 21 2000 1200 600 22 2100 1300 700 Draw Diddy Bling Bling's…

Ten-year old Sarah is starting a lemonade stand, she uses baskets of lemons (L) and other ingredients (O). She is able to produce lemonade according to the production function f(L, O) = 1 2 L 2O. The cost of a basket of lemons is $10 and the average cost of the other goods is $4. (a) Derive MPL and MPO. (b) Currently Sarah is using 4 baskets of lemons and 40 units of the other goods. Using this information, calculate MPL and MPO. (c) True/False. At her current use of inputs Sarah is minimizing costs. If true, explain why. If false, what would you recommend Sarah do? (d) Sarah wants to produce 320 units of lemonade. Determine the cost minimizing combination of inputs to use. (e) Assuming no changes in the market price of lemonade nor in the prices of the inputs, if Sarah continues to produce 320 units of lemonade in the long run, what will Sarah’s long run costs be.

If the average cost of producing 10 sweaters is $6.50 and the marginal cost of producing the tenth sweater is $6.25, the average cost of producing 10 sweaters will be:

The cost function of a firm is given as C1 = 400 + 20Q + 4Q using this cost function what is the efficient scale of the firm?.

Show the relationship between production function and cost function

Consider the following cost function (C): C= 0.25q3 - 4q? + 75q + F. The equation for average cost (AC) is: AC = |. (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a superscript can be created with the ^ character.) The equation for variable cost (VC) is: Vc=. (Properly format your expression using the tools in the palette.) The equation for marginal cost (MC) is: MC =. (Properly format your expression using the tools in the palette.)

Craig and Javad run a paper company. Each week they need to produce 1,000 reams of paper to ship to their customers. The paper plant's longrun production function is Q = 4KL, where Q is the number of reams produced, K is the quantity of capital rented, and L is the quantity of labor hired. The weekly cost function for the paper plant is C = 20K + 4L, where C is the total weekly cost. (a) What ratio of capital to labor minimizes Craig and Javad's total costs? (b) How much capital and labor will Craig and Javad need to rent and hire in order to produce 1,000 reams of paper each week? (c) How much will hiring these inputs cost them?

The marginal cost of producing the xth box of DVDs is 7 + C(x): = x² 80,000 and the fixed cost is $100,000. Find the cost function C(x).