Question

The Bread Alone Bakery has a daily over head of $90. It cost $0.60 to bake each loaf of bread, and the bread sells for $1.50 per loaf. a) Write a equation for the cost, C, in terms of loaves, x. Graph the revenue, R, and the , C, on the same axes. State the solution of the system. d) How many loaves must the bakery sell to break even on a given day?

Answer 1

R = x*$1.50

Answer 2

C = $90 + x*0.60

Answer 3

For revenue I got a different answer from someone. They said R=1.5x - 0.6x, because revenue meant how much you made minus the cost to make it. Was that incorrect?

Answer 4

yes, that makes sense

Answer 5

however if you take away revenue you also don't need to add it to the cost

Answer 6

then the cost line could be just $90 with slope 0

Answer 7

at least for the calculation where they meet

Answer 8

Your way is simpler.

Answer 9

their line would be good as a profit line

Answer 10

profit = 1.5 x - 0.6 x -30

Answer 11

I graphed both equations on the calculator and the point of intersection is (100, 150). I'm just trying to make sense of what that solution means in regards to the story.

Answer 12

at the start of the day we are -$90 (rent, workers have expenses etc.)
then with every sold loaf we're making more than it costs

(100, 150)
it means that after 100 loafs, we have $150 in expenses AND $150 income
the position where the bakery breaks even.

higher expenses, like $150 are a good thing if the revenue continually
makes up for the $90 initial cost and the ratio profit/cost get smaller.

Answer 13

gets higher. the ratio cost/profit gets smaller...

Answer 14

Thank you so much. Makes perfect sense...now!