Some airlines have restrictions on the size of items of luggage that passengers are allowed to take with them. Suppose that one has a rule that the sum of the length, width and height of any piece of luggage must be less than or equal to 216 cm. A passenger wants to take a box of the maximum allowable volume. If the length and width are to be equal, what should the dimensions be?
length = width =
height =
In this case, what is the volume?
volume =
(for each, include units)

If the length is be twice the width, what should the dimensions be?
length =
width =
height =
In this case, what is the volume?
volume =
(for each, include units)

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.)

T-comm makes a variety of products. it is organized in two divisions, north and south. the managers for each division are paid, in part, based on the financial performance of their divisions. the south division normally sells to outside customers but, on occasion, also sells to the north division. when it does, corporate policy states that the price must be cost plus 20 percent to ensure a "fair" return to the selling division. south received an order from north for 300 units. south's planned output for the year had been 1,200 units before north's order. south's capacity is 1,500 units per year. the costs for producing those 1,200 units follow

Paddock pools constructed a swimming pool and deck for the jensens' home. paddock installed the wrong trim on the pool. it would cost $2800 to change the trim-one-fifth of the total cost of the pool. the jensens refuse to pay anything for the pool. the paddock's best defense is: (a) duress (b) substanial performance (c)mistake (d) failure of conditions