To find the number of units that gives break-even for the product, solve the equation R $$\mathbf { R } = \mathbf { C }$$ ound your answer to the
nearest whole unit.
-Suppose that the total annual consumption of salmon in a certain country is given by $y = 5.59 x + 837.5$ and that the total annual consumption of tuna in this country is given by $y = 1.49 x + 878.5$, where consumption is measured in millions of pounds and $x$ is the number of years since 2010 . When consumption of salmon reaches consumption of tuna, what is the annual consumption of salmon?
A) 894.89 million pounds
B) 890.42 million pounds
C) 893.4 million pounds
D) 897.87 million pounds

Question

Quizplus · Accepted Answer

To find when the consumption of salmon equals the consumption of tuna, set the equations equal: $5.59x + 837.5 = 1.49x + 878.5$. Solving for $x$, we get $x = 10$. Substitute $x = 10$ back into the salmon equation: $y = 5.59(10) + 837.5 = 893.4$ million pounds.

To Find the Number of Units That Gives Break-Even for the Product