The managers at speed automobile inc. want to diversify the business by acquiring a consumer electronics company. this acquisition would mean increased job security, higher compensation, and greater decision-making authority for the managers. the managers correlate this acquisition to greater power for them rather than to the appreciation in shareholder value. in this scenario, this acquisition by speed automobile is most likely a result

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?