McKinney's Sweet Shop specializes in homemade candies and ice cream. McKinney's produces its ice cream in house, in batches of 50 pounds. The first stage in ice cream making is the blending of ingredients to obtain a mix, which meets pre-specified requirements on the percentages of certain constituents of the mix. The desired composition is as follows:

Chip wilson has hired goldman sachs, an investment banking company, to assist him with a hostile takeover of lululemon. wilson's goal is to hire a new board of directors because he believes there is a need for a more long-term focus. goldman sachs is a proven firm at making a profit in every move that they make. if the hostile takeover does not pan out, what could be another motive for investors?

Acompany manufactures x units of product a and y units of product b, on two machines, i and ii. it has been determined that the company will realize a profit of $3 on each unit of product a and $4 on each unit of product b. to manufacture a unit of product a requires 7 min on machine i and 5 min on machine ii. to manufacture a unit of product b requires 8 min on mchine i and 5 min on machine ii. there are 175 min available on machine i and 125 min available on machine ii in each work shift. how many units of a product should be produced in each shift to maximize the company's profit p?

Ryan terlecki organized a new internet company, capuniverse, inc. the company specializes in baseball-type caps with logos printed on them. ryan, who is never without a cap, believes that his target market is college and high school students. you have been hired to record the transactions occurring in the first two weeks of operations.