according to chester i. barnard, an organization is made up of at least one person who strives daily to achieve the organization’s goals.

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?

Levine inc., which produces a single product, has prepared the following standard cost sheet for one unit of the product. direct materials (9 pounds at $1.80 per pound) $16.20 direct labor (6 hours at $14.00 per hour) $84.00 during the month of april, the company manufactures 270 units and incurs the following actual costs. direct materials purchased and used (2,500 pounds) $5,000 direct labor (1,660 hours) $22,908 compute the total, price, and quantity variances for materials and labor.

Amonopolist’s inverse demand function is p = 150 – 3q. the company produces output at two facilities; the marginal cost of producing at facility 1 is mc1(q1) = 6q1, and the marginal cost of producing at facility 2 is mc2(q2) = 2q2.a. provide the equation for the monopolist’s marginal revenue function. (hint: recall that q1 + q2 = q.)mr(q) = 150 - 6 q1 - 3 q2b. determine the profit-maximizing level of output for each facility.output for facility 1: output for facility 2: c. determine the profit-maximizing price.$