The cost (in dollars) of repainting a car is given by C(x, y) = 4 x^2 + 5 y^2 - 4 x y^2 + 50 where x is the number of hours of labor and y is the number of gallons of paint used. Find the cost of 10 hours of labor and 8 gallons of paint.
When Raw Materials, Work in Process, and Finished Goods are recorded and carried at their standard cost, the fixed overhead applied to work in process is calculated by multiplying the predetermined overhead rate by the actual direct labor-hours worked. Tr
Thomas is having a deck built on the back of his house. A local building supply store has quoted him $1000 for materials plus a carpenter's wage of $30/hour. a) Write a word equation that describes the relationship between the cost of the job and the num
A water tank can be filled by an inlet pipe in 10 hours. It takes 3 times as long for the outlet pipe to empty the tank. How long will it take to fill the tank if both pipes are open?
A water tank can be filled by an inlet pipe in 8 hours. it takes 3 times as long for the outlet pipe to empty the tank. How long will it take to fill the tank if both pipes are open?
A water tank can be filled by an inlet pipe in 7 hours. It takes 2 times as long for the outlet pipe to empty the tank. How long will it take to fill the tank if both pipes are open?
A water tank can be filled by an inlet pipe in 6 hours. It takes 3 times as long for the outlet pipe to empty the tank. How long will it take to fill the tank if both pipes are open?
A full tank initially (at t = 0) contains 16 gallons. Then, water is removed at a rate of (1 + t) gallons per minute, where t is the time in minutes. Find the time, t, where the tank is half empty.
Water leaked from a tank at a rate of r(t) liters per hour, where the graph of r is as shown. Use Simpson's Rule to estimate the total amount of water that leaked out during the first 6 hours.
An automobile repair shop charged a customer $660, listing $75 for parts and the remainder for labor. If the cost of labor is $65 per hour, how many hours of labor did it take to repair the car?
Mr. Smith estimates that it will take 3 hours to fill the pool one foot using their only hose. If the Smith's neighbors allow them to borrow an additional hose, how long will it take to fill the pool to the five-foot level? (a) 3 hours (b) 7.5 hours (c) 1
Using the following labor and material rates, calculate the cost to provide and install the WWF and pour the concrete slab. Productivity rate for slab = 0.4 labor hours/cy Productivity rate for WWF = 1
An electrician can wire a house in 20 hours. if she works with an apprentice, the same job can be completed in 12 hours. how long would it take the apprentice, working alone, to wire the house?
Bill has a traveling car detailing business. He will come to your house to clean your car for a $60 fee plus $14.70 per hour. Mrs. Jenkins spent a total of $126.15 on his services. Determine how many hours Bill spent cleaning Mrs. Jenkins' car.
One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 15 hours. How long will it take the pipe to fill the pool if the drain is left open?
One inlet pipe can fill an empty pool in 4 hours, and a drain can empty the pool in 8 hours. How long will it take the pipe to fill the pool if the drain is left open?
One inlet pipe can fill an empty pool in 9 hours, and a drain can empty the pool in 15 hours. How long will it take the pipe to fill the pool if the drain is left open?
One inlet pipe can fill an empty pool in 4 hours, and a drain can empty the pool in 10 hours. how long will it take the pipe to fill the pool if the drain is left open?
One inlet pipe can fill an empty pool in 4 hours, and a drain can empty the pool in 6 hours. How long will it take the pipe to fill the pool if the drain is left open?
Villa Park PlumberOne inlet pipe can fill an empty pool in 9 hours, and a drain can empty the pool in 18 hours. How long will it take the pipe to fill the pool if the drain is left open?
Thomlin Company forecasts that total overhead for the current year will be $18,032,000 with 196,000 total machine hours. Year to date, the actual overhead is $8,439,000, and the actual machine hours are 87,000 hours. If Thomlin Company uses a predetermine
After a hurricane, repair to roof will cost $2900 for materials and $50/hr in labor. (a) Write the model that represents the cost of the repair C (in $) in terms of the number of hours of labor x. (b) If an estimate for a new roof is $3950, after how ma
Two pipes together drain a wastewater-holding tank in 6 hours. If used alone to empty the tank, one takes 2 hours longer than the other. How long does each take to empty the tank if used alone?
Company A charges a fixed $200 for painting services, along with a $20/hour labor fee. Company B charges a strict hourly rate of $45/hour. For what length of time would the cost of both company's services be the same?
A Human Resources manager at Metal Technologies studied the overtime hours of welders. A sample of 15 welders showed the following number of overtime hours worked last month. Required: a. Compute the arithmetic mean (round your answer to 2 decimal places)
Let an oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and the values for r(t) at 2-hour time intervals are shown in the table below. TABLE Find the lower and upper estimates for the total amount of oil leak
Suppose that the labor cost for a building is approximated by C (x,y) = 10x^2 + 3y^2 - 240x - 180y + 24,000 , where x is the number of the days of skilled labor and y is the number of the days o
Your cousin Vinnie owns a painting company with fixed costs of $200 and the following schedule for variable costs: Calculate average fixed cost, average variable cost, and average total cost for each quantity. What is the efficient scale of the painting c
The cost C of building a house is related to the number k of carpenters used and the number x of electricians used by the formula C = 15,000 + 50k^2 + 60x^2. (a) Assuming that 10 carpenters are cur
It took a contractor 1,285 hours to manufacture their first unit of an item. If the contractor expects to achieve a 92% unit learning curve, how many hours would be required to manufacture units 51-100?
To rent a canoe, it costs $15 for the first hour and $12 for each additional hour or fraction of an hour. Write an equation that that will calculate the cost of a canoe rental for x hours. What is the cost of a canoe rental for 8.5 hours?
If you work one day, you earn $100. Then you get a raise of $50 each day you work. So if you work two days, you make a total of 250 ($100 + 150). If you work three days, you a total of $450. Write an equation.
Water flows from the bottom of a storage tank at a rate of r(t) = 200-4t liters per minute, where 0 \leq t \leq 50. Find the amount of water that flows from the tank during the first 40 minutes.
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By understanding how different parts of your plumbing system work, you will be better able to assess problems and make more informed decisions about how to get the issue resolved. Plumbing issues can range in severity and while it makes sense to hire a licensed professional for most plumbing issues and installations, you can be better prepared if you understand the problem at hand.