Puzzles: Paint R Us

maurizio13 SG

A Junior Achievement activity, Paints ’R Us (PRU), needs your guidance. They mix and sell paint. Their paint inventory consists of 60 quarts of blue (B), 40 quarts of red (R) and 30 yellow (Y). They mix equal parts of B and R yielding purple (P), R and Y forming orange (O), and B and Y resulting in green (G). A quart of P sells for $6, O for the premium price of $20, and G for $9. They’re permitted to sell only these mixed paints. Further, there is a penalty for any of the primary colors not used; the charge per quart is the same for any leftover B, R or Y. Help PRU determine the number of quarts of P, O and G they should mix for the greatest return for each of three scenarios: if the charge for unused quarts is (a) $4 (b) $5 or (c) $6.

SBS n SMRT SG

A little bit confusing and next time use smaller font size.......

uponAStaR SG

35 quarts of P, 5 quarts of O, 25 quarts of G

Just nice, no left over

So the greatest return would be $535 for all 3 cases

provided if the paints supplied are FOC (:

maurizio13 SG

35 quarts of P, 5 quarts of O, 25 quarts of G

Just nice, no left over

So the greatest return would be $535 for all 3 cases

provided if the paints supplied are FOC (:

Initial inventory 130 quarts.

Your ending inventory 75 quarts.

Where did the other 75 quarts go?

If I convert 60 x O, 10 x P and loss of 50 quarts of B.

I would have made $1,120, still more than your $1,070.

uponAStaR SG

Initial inventory 130 quarts.

Your ending inventory 75 quarts.

Where did the other 75 quarts go?

If I convert 60 x O, 10 x P and loss of 50 quarts of B.

I would have made $1,120, still more than your $1,070.

ops... my mistake.... haha... all times 2..

70 quarts of P, 10 quarts of O, 50 quarts of G

total $1070

hmm..

then ur ending inventory is 70 plus 50(loss) total 120...

the other 10?

n btw... 75+75 = 150 nt 130

-------

60 O = $1200

10 P=$60

total $1200

but then.... 55 B n 5 R loss...

case (a) $1020 (b) $$960 (c) $900

may i know where did ur $1120 came from??

haha.. mine still the highest

maurizio13 SG

ops... my mistake.... haha... all times 2..

70 quarts of P, 10 quarts of O, 50 quarts of G

total $1070

hmm..

then ur ending inventory is 70 plus 50(loss) total 120...

the other 10?

n btw... 75+75 = 150 nt 130

-------

60 O = $1200

10 P=$60

total $1200

but then.... 55 B n 5 R loss...

case (a) $1020 (b) $$960 (c) $900

may i know where did ur $1120 came from??

haha.. mine still the highest

my mistake, should be 65 instead of 75.

My error again.

should have been 60 O, 20P and loss of 50 B.

60 x $20 + 20 x $6 - 50 x $4 = $1,120.

uponAStaR SG

my mistake, should be 65 instead of 75.

My error again.

should have been 60 O, 20P and loss of 50 B.

60 x $20 + 20 x $6 - 50 x $4 = $1,120.

haha.... u see ar...

ur case (a) $1120 (b) $1070 (c) $1020

my case (a) $1070 (b) $1070 (c) $1070

it's a draw!! haha... just tt i dun waste money u see...

maurizio13 SG

haha.... u see ar...

ur case (a) $1120 (b) $1070 (c) $1020

my case (a) $1070 (b) $1070 (c) $1070

it's a draw!! haha... just tt i dun waste money u see...

I have 3 scenarios, not one.

One is maximize O, the other is minimize loss.

Between the 2, it's a common ground of $1,070.

uponAStaR SG

I have 3 scenarios, not one.

One is maximize O, the other is minimize loss.

Between the 2, it's a common ground of $1,070.

huh?? ya... i stated all the 3 already...

we just sit back and see who can come out with a 3rd one lor