A television manufacturer produces 600 units of a certain model each month at a cost to the manufacturer of $90 per unit and all of the produced units are sold each month. What is the minimum selling price per unit that will ensure that the monthly profit (revenue from sales minus the manufacturer's cost to produce) on the sales of these units will be at least $42,000 ?

Of the 800 employees of Company X, 70 percent have been with the company for at least ten years. If y of these "long-term" members were to retire and no other employee changes were to occur, what value of y would reduce the percent of "long-term" employees in the company to 60 percent?

If ~$2^{x}2^{y}=8$~ and ~$9^{x}3^{y}=81$~, then(x, y) = ?

The maximum temperatures, in degrees Fahrenheit, recorded in a city on 5 consecutive days were x + 3, 95, 87, x + 7, and x. If the average (arithmetic mean) of these temperatures was 90 degrees Fahrenheit, what is the value of x ?

If ~$3^{x}-3^{x-1}=162$~, then ~$x\left ( x-1 \right )=$~ ?

If ~$2^{x}3^{y}=288$~, wherex and y are positive integers, then ~$2^{x-1}3^{y-2}=$~ ?

From a group of 21 astronauts that includes 12 people with previous experience in space flight, a 3-person crew is to be selected so that exactly 1 person in the crew has previous experience in space flight. How many different crews of this type are possible?

A salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100. If the sale price of each machine was $10,000 and the salesperson received a $36,000 commission, how many machines did she sell?

The sum of the first 50 positive even integers is 2,550. What is the sum of the even integers from 102 to 200, inclusive?

In a certain furniture store, each week Nancy earns a salary of $240 plus 5 percent of the amount of her total sales that exceeds $800 for the week. If Nancy earned a total of $450 one week, what were her total sales that week?