Question

A pen manufacturer produces three types of pens: ballpoint pens, rollerball pens, and fountain pens. The company produces three variations of each type of pen, keeping the cost of production the same for each variation. The table gives the number of pens of each type sold. Ballpoint Rollerball Fountain Variation 1 2,400 1,400 550 Variation 2 3,100 2,000 370 Variation 3 2,850 1,100 720 The cost of production is $1 per ballpoint pen, $2 per rollerball pen, and $4 per fountain pen. The total cost of production is $for variation 1, $for variation 2, and $for variation 3. NextReset

Answer 1

Given:
Ballpoint Rollerball Fountain
Variation 1 2,400 1,400 550
Variation 2 3,100 2,000 370
Variation 3 2,850 1,100 720
TOTAL 8,350 4,500 1,640

The cost of production is $1 per ballpoint pen, $2 per rollerball pen, and $4 per fountain pen.

Total cost:
8,350 x 1 = 8,350 ballpoint
4,500 x 2 = 9,000 rollerball pen
1,640 x 4 = 6,560 fountain pen
total 23,910

Per variation:
Variation 1 (2,400*1) + (1,400*2) + (550*4) = 2,400 + 2,800 + 2,200 = 7,400
Variation 2 (3,100*1) + (2,000*2) + (370*4) = 3,100 + 4,000 + 1,480 = 8,580
Variation 3 (2,850*1) + (1,100*2) + (720*4) = 2,850 + 2,200 + 2,880 = 7,930