Let a, b, and c be the amounts invested in companies a, b, and c. if no more than 50% of the total investment can be in company b, how can you express that as a constraint ( show your work.)–0.5a+0.5b–0.5c< =0-0.5a+0.5b-0.5c> =00.5a -b–0.5c< =0a–0.5b+c< =0b< =0.5

Camilo is a self-employed roofer. he reported a profit of $30,000 on his schedule c. he had other taxable income of $5,000. he paid $3,000 for hospitalization insurance. his self-employment tax was $4,656. he paid his former wife $4,000 in court-ordered alimony and $4,000 in child support. what is the amount camilo can deduct in arriving at adjusted gross income (agi)?

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?

Principals are an administration career