Kalyan singhal corp. makes three products, and it has three machines available as resources as given in the following lp problem: maximize contribution = 6x1 + 8x2 + 4x3subject to: 1x1 + 7x2 + 4x3 < = 72(hours on machine 1)2x1 + 1x2 + 7x3 < = 76 (hours on machine 2)8x1 + 4x2 + 1x3 < = 72 (hours on machine 3)x1, x2, x3 > =0(a) determine the optimal solution using lp software. the optimal achieved isx1=x2-x3=contribution =(b) is there unused time available on any of the machines with the optimal solution? (c) what would it be worth to the firm to make an additional hour of time available on the third machine? (d) how much would the firm’s profit increase if an extra 15 hours of time were made available on the second machine at no extra cost?

True or false: a smart store layout moves customers in and out as fast as possible. a) true b) false

Oceanside marine company manufactures special metallic materials and decorative fittings for luxury yachts that require highly skilled labor. oceanside uses standard costs to prepare its flexible budget. for the first quarter of the year, direct materials and direct labor standards for one of their popular products were as follows: direct materials: 2 pound per unit; $ 11 per pound direct labor: 2 hours per unit; $ 19 per hour oceanside produced 2 comma 000 units during the quarter. at the end of the quarter, an examination of the direct materials records showed that the company used 7 comma 500 pounds of direct materials and actual total materials costs were $ 98 comma 100. what is the direct materials cost variance? (round any intermediate calculations to the nearest cent, and your final answer to the nearest dollar.)

Salt corporation's contribution margin ratio is 78% and its fixed monthly expenses are $30,000. assume that the company's sales for may are expected to be $89,000. required: estimate the company's net operating income for may, assuming that the fixed monthly expenses do not change.