Final answer:
James must sell approximately 41 toy trucks to break even each month, as determined by setting his cost equation equal to his revenue equation and solving for the number of trucks.
Step-by-step explanation:
To determine how many toy trucks James must sell to break even each month, we need to set his cost equation equal to his revenue equation. The cost to make toy trucks is represented by C = $7.00t + $943, where t is the number of trucks. James sells the toy trucks for R = $30t. The break-even point is when the cost equals the revenue, C = R. Thus, we have the equation:
$7.00t + $943 = $30t
To solve for t, subtract $7.00t from both sides:
$943 = $30t - $7.00t
$943 = $23t
Now divide both sides by $23 to find the number of trucks:
t = $943 / $23
t ≈ 41
James must sell approximately 41 trucks to break even each month.