Kate and Faisal have utility functions UK=4AK+OK and UF=AF+4OF respectively, where AK and OK are K Kate's consumptions of apples and oranges and AF and OF are Faisal's consumptions of apples and oranges. The total supply of apples and oranges to be divided between them is 16 apples and 14 oranges. The "fair" allocations consist of all allocations satisfying: 4AK+OK is at least 39 and AF+4OF is at least 36. 4AK+OK is at least 78 and AF+4OF is at least 72. 8AK+2OK is at least 78 and AF+4OF is at least 72. 8AK+2OK is at least 39 and 2AF+8OY is af least 72. 4AK +OK is at least AK+4OF and AF+4OK is at least 4AK+OK..

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Contribution Maroin, Break-kven Sales, Cost-volume-profit chart, Margin of Safety, and Operating
Leverage Beimain Co, expects to maintain the same inventories at the end of 20y7 as at the
beginnigg of the yoar. The total of all production costis for the year is therefore assumed to be
equal to the cost of goods sold. With this in mind, the various department heads were asked to
fabimit estimates of the costs for their departments during the year. A summary report of these
egtimates is as follows:Contribution Margin, Break-Even Sales, Cost-Volume-Profit Chart, Margin
of Safety, and Operatinig Leverage Belmain Co, expects to maintain the same inventories at the
end of 20Y7 as at the beginnipg of the year. The total of all production costs for the: year is
therefore assumed to be equal to the cost of goods sold. With this in mind, the various department
heads were asked to submit. estimates of the costs for their departments during the year. A
summary report of these estimates is as follows: