g One company plans to promote their new product and there are three advertising alternatives including television, newspaper and radio. The cost for each medium with its audience coverage is given below. The local newspaper limits the number of advertisements from a single company to ten. Moreover, in order to balance the advertising among the three types of media, no more than half of the total number of advertisements should occur on the radio, and at least 10% should occur on television. The weekly advertising budget is $20000. Formulate the optimization problem (decision variables are x1, x2 and x3 for number of advertisements used on television, newspaper and radio, respectively).

You are the manager of a firm that produces output in two plants. the demand for your firm's product is p = 20 − q, where q = q1 + q2. the marginal costs associated with producing in the two plants are mc1 = 2 and mc2 = 2q2. how much output should be produced in plant 1 in order to maximize profits?

Ardmore farm and seed has an inventory dilemma. they have been selling a brand of very popular insect spray for the past year. they have never really analyzed the costs incurred from ordering and holding the inventory and currently fave a large stock of the insecticide in the warehouse. they estimate that it costs $25 to place an order, and it costs $0.25 per gallon to hold the spray. the annual requirements total 80,000 gallons for a 365 day year.a. assuming that 10,000 gallons are ordered each time an order is placed, estimate the annual inventory costs.b. calculate the eoq.c. given the eoq calculated in part b., how many orders should be placed and what is the average inventory balance? d. if it takes seven days to receive an order from suppliers, at what inventory level should ardmore place another order?

When paul o’neill joined alcoa as ceo, he set a , that there would be zero workplace accidents. a lot of people in the organization thought this was impossible given how dangerous some aluminum-manufacturing jobs are, but alcoa’s safety record improved tremendously. as the board of governors of the american red cross considers planning, one option is to make strategic plans and then direct managers to align tactical and operational plans accordingly. another option is to have planning specialists managers across the organization make their own plans. why might this organization’s executives opt for the latter approach? check all that apply. (a) the environment is a dynamic one, and department and frontline managers can come up with more responsive plans than can central leadership. (b)resources will be better coordinated across the organization in support of the overall strategy.(c) senior leadership will have more control over the organization’s direction. (d)when managers come up with their own plans, they are likely to be more committed to following through on them.