00:01
For this problem, we are told that the oliver company plans to market a new product.
00:05
Based on its market studies, oliver estimates that it can sell up to 5 ,500 units in 2005.
00:12
The selling price will be $2 per unit.
00:14
Variable costs are estimated to be 40 % of total revenue, and fixed costs are estimated to be $6 ,000 for 2005.
00:23
We then asked, how many units should the company sell to break even? so to begin, we know that the revenue function, r of x, is going to equal.
00:32
Just 2x, where we know that that is going to be for x between 0 and 5 ,500, where it's worth noting that x must be an integer as well.
00:44
That's our revenue function.
00:46
To figure out our cost function, we actually need that revenue function because we're told that variable costs are estimated to be 40 % of total revenue, so that it will be 0 .4 times 2x, which will become 0 .8x, 0 .8...