Question

A small software company invests $25,000 to produce a software package that will sell for $69.95. Each unit can be produced for $45.25.
How many units must be sold to make a profit of $100,000?

Answer 1

see profit for 1 unit will be profit=selling price-cost price
=69.95-45.25
=24.70

Answer 2

for getting a profit of 24.70 u have to sell 1 unit
now calculate for 100000

Answer 3

$100,000=24.7x? something like that? This problem involves the method of substitution of linear and nonlinear system equations if that helps.

Answer 4

yeah it's correct

Answer 5

x=100000/24.7

Answer 6

I'm getting 4048.58, but the solution says 5061 units

Answer 7

for Part A, i had to find the break even point. Y=25,000 + 45.25x, Y=69.95x
25,000+42.25x=69.95x
25,000=24.7x
x=1013 units.

Answer 8

is 69.95 the selling price for 1 unit??

Answer 9

P=R-C
R=69.95x, C=25,000+45.25x
100,000=69.95x-(25,000+45.25x)
100,000=69.95x-25,000-42.25x
125,000=24.7x
x=5060.7287

Answer 10

for $25000
number of units produced =25000/45.25
=552.48618 units

if we sell each unit at 69.95 then
total profit for 552.48618 units is 552.48618*69.95=38646.408

Answer 11

what is this r=69.95x??

Answer 12

what does x mean in that

Answer 13

I actually found the answer with the previous reply.

Answer 14

ok I know that.Just wanna know how did they solve

Answer 15

oh no, I solved it. I posted it above. I only gave u a badge for sticking it out with me.

Answer 16

ok thanks