Suppose a ceiling fan manufacturer has the total cost function  C(x) = 34x + 1640  and the total revenue function  R(x) = 75x. (a) What is the equation of the profit function P(x) for this commodity? P(x) =        (b) What is the profit on 20 units? P(20) =  Interpret your result. The total costs are less than the revenue.The total costs are more than the revenue.    The total costs are exactly the same as the revenue. (c) How many fans must be sold to avoid losing money?  fans

Q: suppose a company has revenue function R(x)=10x and the cost function C(x)=2x+100, where x is the…

A:

Q: Now, we can find the revenue function by multiplying the price function by the quantity function and…

A: Revenue function can be obtained by multiplying the price function by the quantity function.

Q: If total costs for a commodity are given by  C(x) = 950 + 30x  and total revenues are given by…

A:

Q: The buying price of fan motors from a local manufacturer is represented by b(x)=(360/x), where x is…

A: The buying price of fan motors is given byb(x)=x360​and the selling price of the fan motor is given…

Q: how to find break even point of the profit function p(x)=-55-6x+0.2x2

A:

Q: The cost to produce a certain commodity is given by the function C(x) = 50x + 2,000 The…

A: The cost to produce a certain commodity is given by the function C(x)=50x+2000. The corresponding…

Q: The price of a widget is given by p(x)=160−8x where x is the quantity demanded. The cost of a widget…

A: The price function is given by px = 160-8x Where x is the quantity demanded. The cost function is…

Q: The estimated monthly profit realizable by abc corporation for manufacturing and selling x units of…

A: From the given profit function:   px=-4x2+24000x-100,000 dollars   Now differentiate the function…

Q: The demand equation x+10p=630 where x is the number of webcams demanded when priced at unit price p…

A: The profit function = Revenue function - Cost function Or, P(x) = R(x) - C(x)

Q: R(x) = -.722x3 + 19.23x2 - 161.2x + 421.8, where x = 6 corresponds to the year 2006.  (a) What was…

A:

Q: For a certain company, the cost function for producing x items is c (x)=50x+150 and the revenue…

A: It is given that c(x)=50x+150 and R(x)=-0.5(x-110)2+6050.

Q: The function C(x)=−9x+2401 represents the cost to produce x items. What is the least number of items…

A: Obtain the average cost function for the given cost function as follows. Cx=Cxx=-9x+2401x=-9+2401x

Q: Suppose a computer manufacturer has the total cost function C(x) 80x + 3600 (in dollars) and the…

A: given  C(x)=8x+3600R(x)=380x

Q: If R(x) represents the company's revenue when selling x items and C(x) represents the company's cost…

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.