pens are sold in a local store for 80 cents each. The factory had $1200 in fixed costs plus 5 cents of additional expense for each pen made. Assuming all pens manufactured can be sold, find the break- even point.

They need to sell 1,600 pens to break even

Step-by-step explanation:

Set the profit equal to the cost by making 2 equations:

0.8p = 1200 + 0.05p

0.75p = 1200

p = 1600

They need to sell 1,600 pens to break even.

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.