1. Given the cost function C(x) and the revenue function R(x), find the number o
ID: 3137953 • Letter: 1
Question
1. Given the cost function C(x) and the revenue function R(x), find the number of units x that must be sold to break even.
C(x) = 13x + 32,000 and R(x) = 15x.
How many units must be produced and sold in order to break even?
___ units
2. Given the cost function C(x) = 74x + 128,000 and the revenue function R(x) = 174x, find the number of units x that must be sold to break even.
To break even, ___ units must be sold.
3. Rabbits in a lab are to be kept on a strict daily diet that includes 28 grams of protein, 23 grams of fat, and 39 grams of carbohydrates. The scientist has only three food mixes available with the following grams of nutritients per unit.
Find how many units of each mix are needed daily to meet each rabbit's dietary need.
-Carbohydrate Mix A Mix B Mix C Protein 3 4 i Eat : 5 2 5Explanation / Answer
1) C(x) = 13x + 32,000
R(x) = 15x
for breakeven to occur C(x) = R(x)
setting the two functions equal
13x + 32,000 = 15x
32000 = 2x
x = 16000
so, 16000 units must be produced and sold in order to break even
2) C(x) = 74x + 128,000
R(x) = 174x
for breakeven C(x) = R(x)
74x + 128,000 = 174 x
128000 = 100x
x = 1280
so, 1280 units must be sold
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