Your company produces mass spectrometers for sale to colleges and universities throughout the United States. On February 12, the University of Washtaw contacts your company to purchase 12 mass spectrometers at $1,000,000 per unit. You enter into a contract with the university on March 1 under those terms, along with a delivery date of December 1. On April 10, you receive a letter from the university stating that, due to ambiguities in the contract language, they believe you are only owed $10,000,000. Specifically, Washtaw states, "please find enclosed a check for $10,000,000 for payment in full, check marked as such. Also, this is the total amount of our budget. We would be more agreeable to cancelling the contract than to have to come up with another $2,000,000." Your company has not yet started production on the spectrometers. What are your options and why?

Afinancial institution, the thriftem bank, is in the process of formulating its loan policy for the next quarter. a total of $12 million is allocated for that purpose. being a full-service facility, the bank is obligated to grant loans to different clientele. the following table provides the types of loans, the interest rate charged by the bank, and the possibility of bad debt as estimated from past experience.type of loaninterest rateprobability of bad debtpersonal.140.10car.130.07home.120.03farm.125.05commercial.100.02 bad debts are assumed unrecoverable and hence produce no interest revenue either. competition with other financial institutions in the area requires that the bank allocate at least 40% of the total funds to farm and commercial loans. to assist the housing industry in the region, home loans must equal at least 50% of the personal, car, and home loans. the bank also has a stated policy specifying that the overall ratio for bad debts on all loans may not exceed .04. formulate this problem as a linear program. define your variables clearly and write all the constraints explaining the significance of each.

When interest is compounded continuously, the amount of money increases at a rate proportional to the amount s present at time t, that is, ds/dt = rs, where r is the annual rate of interest. (a) find the amount of money accrued at the end of 3 years when $4000 is deposited in a savings account drawing 5 3 4 % annual interest compounded continuously. (round your answer to the nearest cent.) $ (b) in how many years will the initial sum deposited have doubled? (round your answer to the nearest year.) years (c) use a calculator to compare the amount obtained in part (a) with the amount s = 4000 1 + 1 4 (0.0575) 3(4) that is accrued when interest is compounded quarterly. (round your answer to the nearest cent.) s = $

If you miss two payments on a credit card what is generally the penalty