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Afirm’s production function is represented by q(m,r) = 4m 3/4r1/3, where q denotes output, m raw materials, and r robots. the firm is currently using 6 units of raw materials and 12 robots. according to the mrts, in order to maintain its output level the firm would need to give up 2 robots if it adds 9 units of raw materials. (a) true (b) false

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?

Kevin and jenny, who are both working full-time, have three children all under the age of ten. the two youngest children, who are three and five years old, attended eastside pre-school for a total cost of $3,000. ervin, who is nine, attended big kid daycare after school at a cost of $2,000. jenny has earned income of $15,000 and kevin earns $14,000. what amount of childcare expenses should be used to determine the child and dependent care credit?