Stone canyon muffins sells its muffins to restaurants and coffee houses for an average selling price of $27 per case. the following information relates to the budget for stone canyon muffins for this year (all figures are annual totals unless otherwise noted): (click the icon to view the budget information.) during the year, stone canyon muffins actually sold 9 comma 500 cases, resulting in total sales revenue of $ 264 comma 100. actual expenses (in total) from this year are as follows:

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?