The operations manager for the blue moon brewing co. produces two beers: lite (l) and dark (d). two of his resources are constrained: production time, which is limited to 8 hours (480 minutes) per day; and malt extract (one of his ingredients), of which he can get only 675 gallons each day. to produce a keg of lite beer requires 2 minutes of time and 5 gallons of malt extract, while each keg of dark beer needs 4 minutes of time and 3 gallons of malt extract. profits for lite beer are $3.00 per keg, and profits for dark beer are $2.00 per keg. make the model including(a) what are decision variables? (b) what is the objective function? (c) what are the two constrains?

Ms. sophia jones, the company president, has heard that there are multiple breakeven points for every product. she does not believe this and has asked you to provide the evidence of such a possibility. some information about the company for 2017 is as follows:

"in my opinion, we ought to stop making our own drums and accept that outside supplier's offer," said wim niewindt, managing director of antilles refining, n. v., of aruba. "at a price of $21 per drum, we would be paying $4.70 less than it costs us to manufacture the drums in our own plant. since we use 70,000 drums a year, that would be an annual cost savings of $329,000." antilles refining's current cost to manufacture one drum is given below (based on 70,000 drums per year):

Net income and owner's equity for four businesses four different proprietorships, jupiter, mars, saturn, and venus, show the same balance sheet data at the beginning and end of a year. these data, exclusive of the amount of owner's equity, are summarized as follows: total assets total liabilities beginning of the year $550,000 $215,000 end of the year 844,000 320,000 on the basis of the preceding data and the following additional information for the year, determine the net income (or loss) of each company for the year. (hint: first determine the amount of increase or decrease in owner's equity during the year.) jupiter: the owner had made no additional investments in the business and had made no withdrawals from the business. mars: the owner had made no additional investments in the business but had withdrawn $36,000. saturn: the owner had made an additional investment of $60,000 but had made no withdrawals. venus: the owner had made an additional investment of $60,000 and had withdrawn $36,000. jupiter net income $ mars net income $ saturn net income $ venus net income $