If a company has total costs , and total revenues given by , find the break-even points. Round your answers to two decimal places.

Question

If a company has total costs  , and total revenues given by  , find the break-even points. Round your answers to two decimal places.

Quizplus · Accepted Answer

To find the break-even point, we need to set the total costs equal to the total revenues and solve for the number of units.

11eb0d3b_97b2_2cf9_9790_3334087e975e_TB1243_11 = 11eb0d3b_97b2_2cfa_9790_b3eaecd1723d_TB1243_11

Let x be the number of units.

0.1x^2 + 2000x + 10000 = 0.4x^2 + 1500x

0.3x^2 - 500x - 10000 = 0

Using the quadratic formula, we get:

x = (500 ± √(500^2 + 4*0.3*10000))/2*0.3

x ≈ 11eb0d3b_97b2_540d_9790_ebe04049c2ae_TB1243_11 (rounded to two decimal places) or x ≈ 11eb0d3b_97b2_540e_9790_3b1498fe87ca_TB1243_11

Therefore, the break-even values are at approximately 11eb0d3b_97b2_540d_9790_ebe04049c2ae_TB1243_11 and 11eb0d3b_97b2_540e_9790_3b1498fe87ca_TB1243_11 units. Only option B matches these values.

If a Company Has Total Costs , and Total