where x is the number of units of labor used and y is the number of units of capital used. Labor costs are $6 per unit, capital costs are $4 per unit, and the budget is $8000. Find the optimal values of x and y in order to maximize the quantity produced

Mr. smith recently faced a choice between being (a) an economics profes-sor, which pays $60,000/yr, or (b) a safari leader, which pays $50,000/yr. after careful deliberation, smith took the safari job, but it was a close call. "for a dollar more," he said, "i'd have gone the other way."now smith's brother-in-law approaches him with a business proposition. the terms are as follows: - smith must resign his safari job to work full-time in his brother-in-law's business.- smith must give his brother-in-law an interest-free loan of $100,000, which will be repaid in full if and when smith leaves the business. (smith currently has much more than $100,000 in the the business will pay smith a salary of $70,000/yr. he will receive no other payment from the business. the interest rate is 10 percent per year. apart from salary considerations, smith feels that working in the business would be just as enjoyable as being an economics professor. for simplicity, assume there is no uncertainty regarding either smith's salary in the proposed business or the security of his monetary investment in it. should smith join his brother-in-law and, if so, how small would smith's salary from the business have to be to make it not worthwhile for him to join? if not, how large would smith's salary from the business have to be to make it worthwhile for him to join?

Margaret company reported the following information for the current year: net sales $3,000,000 purchases $1,957,000 beginning inventory $245,000 ending inventory $115,000 cost of goods sold 65% of sales industry averages available are: inventory turnover 5.29 gross profit percentage 28% how do the inventory turnover and gross profit percentage for margaret company compare to the industry averages for the same ratios? (round inventory turnover to two decimal places. round gross profit percentage to the nearest percent.)

Two products, qi and vh, emerge from a joint process. product qi has been allocated $34,300 of the total joint costs of $55,000. a total of 2,900 units of product qi are produced from the joint process. product qi can be sold at the split-off point for $11 per unit, or it can be processed further for an additional total cost of $10,900 and then sold for $13 per unit. if product qi is processed further and sold, what would be the financial advantage (disadvantage) for the company compared with sale in its unprocessed form directly after the split-off point?