Question

A yogurt company spends $1850 per day in fixed costs and $0.22 for each unit. Each container of yogurt sells for $1.25. Which function could you use to find the profit realized after selling x units of yogurt?show work

A) f(x) = 1.47x + 1850
B) f(x) = 0.22x + 1850
C) f(x) = 1.03x − 1850
D) f(x) = 1.25x − 1850

Answer 1

C) Profit f(x) of the yogurt company after selling x units is given as :

f(x) = 1.03 x - 1850

Explanation:

Here, the fixed cost spend by the company = $1850

Also,cost per yogurt per unit = $0.22

Now, let us assume the total yogurt units sold = x

So, the total cost for m units = x ( cost per unit) = x ($0.22) = 0.22 x

SO, the total COST PRICE of company = Cost of m units + Fixed cost

= $1850 + 0.22 x

Also,selling price of each unit = $1.25

So, the selling price of m units = x ( per unit selling price) = x ($1.25)

= 1.25 x

PROFIT = SELLING PRICE - COST PRICE

or f(x) = 1.25 x - $1850 + 0.22 x

or, f(x) = 1.03 x - 1850

Hence, the profit f(x) of the yogurt company after selling x units is given as : f(x) = 1.03 x - 1850