The queen city nursery manufactures bags of potting soil from compost and topsoil. each cubic foot of compost costs 12 cents (enter as .12) and contains 4 pounds of sand, 3 pounds of clay, and 5 pounds of humus. each cubic foot of topsoil costs 20 cents (enter as .20) and contains 3 pounds of sand, 6 pounds of clay, and 12 pounds of humus. each bag of potting soil must contain at least 12 pounds of sand, at least 12 pounds of clay, and at least 10 pounds of humus. formulate the problem as a linear program and find the best combination of compost and topsoil that meets the stated conditions at the lowest cost per bag.

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 mars: the owner had made no additional investments in the business but had withdrawn $36,000.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 venus: the owner had made an additional investment of $60,000 and had withdrawn $36,000.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 $