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zloy xaker [14]
1 year ago
5

Afirm will break even (no profit and no loss) as long as revenue just equals cost. The value of x (the number of items produced

and sold) where Cla) R() is called the break-even point. Assume that the below table can be expressed as a linear
function
Find (a) the cost function (b) the revenue function, and (c) the profit function
(d) Find the break-even point and decide whether the product should be produced, given the restrictions on sales.
Fixed cost Variable cost Price of item
$750 $10 $35
According to the restriction, no more than 20 units can be sold
(a) The cost function is CK-
(Simplify your answer)
(b) The revenue function is -
(Simplify your answer)
(c) The profit function is -
(Simplify your answer)
(d) Select the correct choice below and to in the answer box within your choice
(Type a whole number)
OA The break-even point is units. Thus, the product should not be produced, given the restriction on sales.
OB. The break-even point is units. Thus, the product should be produced, given the restriction on sales.
Mathematics
1 answer:
s2008m [1.1K]1 year ago
8 0

Cost function, C(x)=300+15x

Revenue function, R(x) = 30x

Profit function, P(x)=15x-300

Break point x=20.

Fixed cost = $300.

Variable cost = $15.

Price of item = $30.

Let x be the number of items produced and sold.

a) Cost function = Fixed cost + variable cost \times number of items

So, C(x)=300+15x

b) Revenue = Price of an item \times number of items

So, R(x) = 30x

c) Profit = Revenue - Cost

P(x)=R(x)-C(x)

P(x)=30x-300-15x

P(x)=15x-300

d) <u>Break even point</u> R(x)=C(x)

30x=300+15x

30x-15x=300

15x=300

x=20.

So, the product should be produced for 20 or more items.

Learn more about cost function here:

brainly.com/question/13129990?referrer=searchResults

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