A firm’s production function is represented by Q(M, R) = M2R, MPM = 2MR, MPR = M2 where Q denotes output, M raw materials, and R robots. The firm is currently using 2 units of raw materials and 4 robots. According to the MRTS, how many robots the firm would need to give up in order to maintain its output level if it adds one unit of raw material.

Solomon chemical company makes three products, b7, k6, and x9, which are joint products from the same materials. in a standard batch of 320,000 pounds of raw materials, the company generates 70,000 pounds of b7, 150,000 pounds of k6, and 100,000 pounds of x9. a standard batch costs $3,840,000 to produce. the sales prices per pound are $10, $14, and $20 for b7, k6, and x9, respectively. (a) allocate the joint product cost among the three final products using weight as the allocation base. (b) allocate the joint product cost among the three final products using market value as the allocation base. (c) allocate the joint product cost among the three final products using weight as the allocation base.

Which of the following should be considered last when searching for financing

Ronald sees that his employer's stock has grown from $20 a share to $60 a share this year, while most stocks have seen only 5% growth. his employer offers to let him convert a large portion of his salary into stock options. what is not a valid reason to turn down the stock offer? a)stocks with high returns have high volatility, and ronald's company may not grow further. b)ronald may be taxed more for capital gains than he would be for employment income. c)stock options are illiquid, and ronald may not be able to use them to pay for unexpected bills. d)ronald would be committing stock fraud if he exercises the options.