Apply the properties of functions to correctly determine and interpret the break-even point in the following situations, using valid mathematical procedures and correct mathematical notation. Express your answer in terms of the context of the problem.   A company sells Christmas decorations. The cost equation to manufacture the product is given by                      C(x) = x2 – x + 31. The company sells its decorations for $4.00 each. Therefore, your revenue equation is            R(x) = 4x, where R is revenue and x is the number of units sold for the week (in thousands). Find and interpret the break-even point.

Q: The cost of hiring a handyman to help with home jobs costs $50 plus $35 per hour for each hour the…

A: The cost function C(t) =50+35twhere t is number of hours worked by the handman

Q: The rate of change is 50, and it represents the income increasing by 50 dollars per hour. The rate…

A: givenf(x)=10x+50

Q: Finbar bought his home for $150,000 in 2010. Property values have increased 10% every year since he…

A: Given, in 2010 Finbar bought his home $150,000 property value increase 10% every year, To find the…

Q: You are the CEO for a lightweight compasses manufacturer. The demand function for the lightweight…

A: Given: The demand function for the light weight compasses is given by p=40-4q2 ( where q is the…

Q: The formulas below are the cost and revenue functions for a company that manufactures and sells…

A: The profit function is calculated by subtracting the cost function from the revenue function.

Q: A once thriving company in Teaneck had its monthly profits, in thousands of dollars, modeled by the…

A: we need to find out the profit many years into the future.

Q: A wind farm selling electricity at a price of x cents per kilowatt hour (c/kWh) has found that its…

A:

Q: Find the maximum revenue for the revenue function R(x) = 352x - 0.7x. (Round your answer to the…

A: Second derivative test : Suppose f is continuous and differentiable at x=a where f'a and f''a also…

Q: The monthly demand equation for Penn State Bakery Mini Cookie Canisters is given by p=√64-> where x…

A:

Q: The cost function for a weekly manufacture of headphones is given by C(2) = 150, 000 + 20r + 0.012…

A: solution:-

Q: Apply the properties of functions to correctly determine and interpret the break-even point in the…

A: Calculation of above requirement are as follows.

Q: company sells windshield wipers. The company's fixed and variable costs are modeled by the function…

A: Given that: Cost function is: C(x)=0.4x+400 Revenue function is: R(x)=1.7x

Q: The formulas below are the cost and revenue functions for a company that manufactures and sells…

A: Given that  the cost function is Cx = 160,000 + 30 x             The revenue function is   Rx =…

Q: A rock was slung from a sling shot off the top of a building. The height of the rock, relative to…

A: The height of the rock,r(t)=-16t-1.752+289r(t)=-16t-6t+2.5r(t)=-16t2+56t+240