A firm produces headphones in two qualities, Basic (B) and Premium (P). For the coming year, the estimated quantity produced of B is 60% higher than that of P. The firm makes a markup of 170% on both products. The ratio between the profits per unit between P and B is 2. The cost price for P is $260. If the profit target is $115 362 over the next year, how much of each of the two qualities must be produced and what are the two selling prices?

In a given year, the U.S. federal income tax owed by a married couple filing jointly can be found from the following table. Married Filing Jointly Taxable Income $0-$18,550 T(x) = $18,551-$75,300 $75,301-$151,900 amount over $75,300 $413,351-$466,950 Tax Rate 10% $1,855 plus 15% of the amount over $18,550 $10,367.50 plus 25% of the $151,901-$231,450 amount over $151,900 $466,951 or more if $29,517.50 plus 28% of the $231,451-$413,350 amount over $231,450 $51,791.50 plus 33% of the $130,578.50 plus 39.6% of the amount over $466,950 (a) For incomes up to $151,900, write the piecewise defined function T with input x that models the federal tax dollars due as a function of x, the taxable income dollars earned. $111,818.50 plus 35% of the amount over $413,350 0 < x≤ 18,550 if 18,550 < x≤ 75,300 if 75,300 < x≤ 151,900 (b) Use the function to find T(40,000). $ (c) Find the tax due on a taxable inco of $90,000. $ (d) A friend tells Jack Waddell not to earn any money over $75,300 because it…

Turnover is planned at 2.5 for the six-month peris starting February 1 through July 31. Average weekly sales for that period are $75,000. What average stock should be carried in this situation? $800,000 $900,000 O $720,000 $780,000

The Country Fields Retirement Community ch $6000/month for a single senior citizen to resi an efficiency apartment with assisted living The facility has operating expenses of $600,00 month. Staffing levels are dependent on the n of residents. Each senior who enters the comm requires additional food, personal care, and s staff time. The estimated cost for each pers $4000 per person per month. (a) How many senior citizen residents does the ity need to have in order to reach the break point? (b) What is the company's annual profit or in they maintain an average residency level senior citizens?