Quest manufacturing is building a product that costs $200 to start to build and $6.40 per unit sold. the company plans to sell each unit for $10.50. the company wrote an inequality to determine the minimum number of units (u) that it needs to sell to break even or make a profit on the product. 10.50u ≥ 200 6.40u what is the minimum amount of units that the company needs to sell to break even or make a profit on the product?

49 units

Step-by-step explanation:

10.50u ≥ 200 + 6.40u       solve for u

4.10u ≥ 200        (subtract 6.40u to both sides)

       u ≥ 200/4.10  (divide both sides by 4.10)

         u ≥ 48.78

         Any number of units greater than 48.78, but they can't sell parts of a unit, so 49 is the minimum number of units that need to be sold to make a profit  

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get