The marketing department has determined that the relationship between marketing expenditures (x) and sales can be modelled by the equation sales = 100x − x2 + 20. use a nonlinear solver tool to determine the level of marketing expenditure that will maximize sales. a. 40b. 50c. 60d. 70e. 80

In its first year of operations, crane company recognized $31,700 in service revenue, $7,700 of which was on account and still outstanding at year-end. the remaining $24,000 was received in cash from customers. the company incurred operating expenses of $16,600. of these expenses, $12,690 were paid in cash; $3,910 was still owed on account at year-end. in addition, crane prepaid $3,260 for insurance coverage that would not be used until the second year of operations.

Alocation analysis has been narrowed down to two locations, akron and boston. the main factors in the decision will be the supply of raw materials, which has a weight of .50, transportation cost, which has a weight of .40, and labor cost, which has a weight of .10. the scores for raw materials, transportation, and labor are for akron 60, 80, and 70, respectively; for boston 70, 50, and 90, respectively. given this information and a minimum acceptable composite score of 75, we can say that the manager should:

Afirm that makes electronic circuits has been ordering a certain raw material 250 ounces at a time. the firm estimates that carrying cost is i = 30% per year, and that ordering cost is about $20 per order. the current price of the ingredient is $200 per ounce. the assumptions of the basic eoq model are thought to apply. for what value of annual demand is their action optimal?