Pencils are sold in a local store for 55 cents each. The factory has $1300 in fixed costs plus 15 cents of additional expense for each pencil made. Assuming all
pencils manufactured can be sold, find the break-even point.
Break-even point:

3250 pencils sold

Step-by-step explanation:

Let x represent the number of pencils.

The profit from the pencils sold can be represented by 0.55x, and the cost from making the pencils can be represented by 1300 + 0.15x.

Set these two terms equal to each other, and solve for x:

0.55x = 1300 + 0.15x

0.4x = 1300

x = 3250

So, the break even point is at 3250 pencils sold.

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

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step-by-step explanation: