The revenue function for a new product is given by π (π₯)=(β5π₯+39)π₯R(x)=(β5x+39)x where π₯x represents the number of sold items in thousands. The cost function is given by πΆ(π₯)=4π₯+30C(x)=4x+30 How many items must be sold to break even? Round to the nearest unit.
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So we need to find the value of π₯ that makes π (π₯) = πΆ(π₯). π (π₯) = πΆ(π₯) (β5π₯+39)π₯ = 4π₯+30 Expanding the left side and simplifying, we get: β5π₯^2 + 39π₯ = 4π₯ + 30 β5π₯^2 + 35π₯ β 30 = 0 Now we can use the quadratic formula to solve for π₯: π₯ = [β(35) Β± β(35^2 β Show moreβ¦
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