Formulate an LP to minimize the expediting cost such that the project finishes in 90 days.(b) Suppose that instead of meeting the deadline exactly, there is a penalty of$290 for eachday the project extends beyond 90 days. In addition, there is a reward of$250 for everyday the project finishes under 90 days. Write two (or one) linear programming problemsto determine by how much to expedite the duration of each activity in order to minimizethe net cost.

Acompany manufactures hair dryers. it buys some of the components, but it makes the heating element, which it can produce at the rate of 920 per day. hair dryers are assembled daily, 250 days a year, at a rate of 360 per day. because of the disparity between the production and usage rates, the heating elements are periodically produced in batches of 2,300 units. a. approximately how many batches of heating elements are produced annually? b. if production on a batch begins when there is no inventory of heating elements on hand, how much inventory will be on hand 4 days later? c. what is the average inventory of elements, assuming each production cycle begins when there are none on hand?

Dakota products has a production budget as follows: may, 16,000 units; june, 19,000 units; and july, 24,000 units. each unit requires 3 pounds of raw material and 2 direct labor hours. dakota desires to keep an inventory of 10% of the next month’s requirements on hand. on may, 1 there were 4,800 pounds of raw material in inventory. direct labor hours required in may would be:

Ichelle is attending college and has a part-time job. once she finishes college, michelle would like to relocate to a metropolitan area. she wants to build her savings so that she will have a "nest egg" to start her off. michelle works out her budget and decides she can afford to set aside $9090 per month for savings. her bank will pay her 4 %4% per year, compounded monthly, on her savings account. what will be michelle's balance in five years?