Question 1171970
revenue function is r = 63 * x
cost function is c = 47 * x + 100,000
profit is equal to revenue minus cost.
let p = profit to get:
p = 63 * x - 47 * x - 100,000
simplify to get:
p = 16 * x - 100,000
to make a profit, p must be > 0
this means that 16 * x - 100,000 > 0.
your inequality to solve is 16 * x - 100,000 > 0
add 100,000 to both sides of this inequality to get:
16 * x > 100,000
solve for x o get:
x > 100,000 / 16
result is x > 6230
wh3en x = 6249, 16 * x - 100,000 = -16
a profit of -16 means a loss of 16.
when x = 6250, 16 * x - 100,000 = 0
a profit of 0 means no profit and no loss, i.e. you broke even.
when x = 6251, 16 * x - 100,000 = 16
profit starts being made when more than 6250 calculators are sold.\
on a graph, this looks like this.


<img src = "http://theo.x10hosting.com/2020/121701.jpg" >