A firm sells 3,000 headphones at a price of $3 per unit. Even though this price is slightly higher than competing brands, the management is considering a further increase in price by 25 cents. The firm plans to focus advertising efforts on superior sound clarity. Rachel, the firm's marketing head, feels confident that a price increase by 25 cents will increase revenue. Industry analysts are of the opinion that even though the revenue is likely to increase, the firm must be careful of rivals who are actively competing for higher market share. Which of the following, if true, would indicate that any increase in price from $3 would reduce the firm's total revenue? (Assume the demand curve is linear.)

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.

Which statement about the cost of the options is true? she would save $1,000 by choosing option b. she would save $5,650 by choosing option a. she would save $11,200 by choosing option b. she would save $11,300 by choosing option a.

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