What is the law of diminishing return?

Aquatic marine stores company manufactures special metallic materials and decorative fittings for luxury yachts that require highly skilled labor. aquatic 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: 3 pounds per unit; $ 6 per pound direct labor: 4 hours per unit; $ 19 per hour during the first quarter, aquatic produced 5 comma 000 units of this product. actual direct materials and direct labor costs were $ 65 comma 000 and $ 330 comma 000, respectively. for the purpose of preparing the flexible budget, calculate the total standard direct materials cost at a production volume of 5 comma 000 units.

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.

The master manufacturing company has just announced a tender offer for its own common stock. master is offering to buy up to 100% of the company's stock at $20 per share contingent on at least 64% of the outstanding shares being tendered. after the announcement of the offer, the stock closed on the nyse up 2.50 at $18.75. a customer has 100 shares of master stock in his cash account. the customer tells you that he wishes to "cash out" his position. you should recommend that the customer: