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Quantity breaks, 50 for $50 and 90 for $80? Or maybe there's another solution

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Original Pricing
50 for $50
100 for $90

I have a product that sells for 50 pieces for $50. These 50 pieces weigh just over 1/2 lb.
I have a large size version of that product that sells 100 for $90 pieces. These 100 pieces weigh 1.1 lbs.

So here was the issue, if you ship using the post office, anything under 1 lb ships first class mail for around $3. If it goes over 1 lb, it must go Priority Mail, about $8. So that 1 ounce is costing me $5 in shipping.

So my original solution was to lower the weight to below 1 lb by selling 90 pieces instead of 100. So this is what my offer would have looked like:

50 for $50 ($1 a piece)
90 for $80 (The public instantly knows that this is under $1 a piece)

This solved my $5 extra shipping issue.

However, I ended up going with a different solution. We know that the public expects to pay less per piece as the quantity increases right? I purposely want to give them easy math. I've always been using the price to govern the easy math. But what if I used the quantity instead.

So here's what I did.
50 for $50 ($1 a piece)
110 for $100 (The public instantly knows that this is under $1 a piece)

The public feels like they are getting 10 free pieces now versus the past solution where they felt like they were getting each piece at a minimal discount, a few cents each.

Why is this better? Here's the math. Let's just assume that each piece costs me $.40. And now let's look at the profit calculations.

Original
50 for $50 - cost 50 x $.40 = $20, $3 shipping, profit $27
100 for $90 - cost 100 x $.40 = $40, $8 shipping, profit $42

First solution
90 for $80 - cost 90 x $.40 = $36, $3 shipping, profit $41 (profit is actually less than before)
90 for $85 - cost 90 x $.40 = $36, $3 shipping, profit $46 (but this didn't look like a good deal right?)

Second solution
110 for $100 - cost 110 x $.40 = $44, $8 shipping, profit $48

The key is that for the extra 10 pieces, it was going to cost me $4 more, but I got an extra $6 in revenue. Also, it's too early to tell if the thought of getting 10 free pieces converts better than getting a few cents off per piece.
 
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Zua lpux zuas qsufadv epf vjisigusi zuas datvunis xez civvis vjep ni cav gsun ep uwisjief woix gsun tuniupi xju jet tjoqqif 100,000't ug iDunnisdi usfist:

O xuamf ati tunivjoph moli e 50, 75, 150 epf e 200 us 300 uqvoup. Og qsousovz neom ot getvis O'f ati vjev et vji timmoph quopv up jiewois raepvovoit sevjis vjep katv qsodi et tunivoni voni ot nusi onqusvepv vjep gopepdoem heop vu e datvunis. Og vjiz xepv 100 vjiz dep caz 2 y 50.

O'f emtu opdmafi e mopi cz vji qsodi ug iedj upi vjev tezt jux nadj qis qoidi ov ot.

$1 iedj
89d iedj
$0.75 iedj

us juxiwis zua xepv vu xusf ov tu vjiz fup'v jewi vu neli vji demdamevoupt vjintimwit.

Xomm ci opvisitvoph vu tii xjev zuas datvunist qsigis up zuas pix qsodi quopvt.
 
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