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    Supporters Of A $15 Minimum Wage Are Clueless.

    Proving them wrong with arithmetic and basic economics. Who knew it could be so easy?

    Income

    inequality is a huge hot button issue in the United States right now,

    and a proposed solution or reform to battle this issue is a hike in

    the minimum wage to a "livable level" of $15 an hour. It is

    justified with comments like, "Wal-Mart made X billion dollars last

    year, they can afford it!" or, "CostCo or [insert company here]

    pay above minimum wage already, so it clearly isn't an issue!"

    In

    this article, I will demonstrate two things:


    1. This
      policy would harm those it is intended to help


    2. Supporters
      do not understand profit margins or basic economics

    I'm

    going to skip all the economics for now and just boil it down to a

    dollars and cents problem.

    Suppose

    Dan owns a burger joint, "Dan's Delicious Burgers." The

    following are his costs, prices, and sales per month of menu items:

    Burgers:

    $2.00 Fries: $1.00 Drink: $1.00

    bun:

    $0.15 potatoes: $0.08 soda: $0.10

    patty:

    $0.85 oil: $0.12 cup: $0.05

    cheese:

    $0.25

    TC(B):

    $1.25 TC(F): $0.20 TC(D): $0.15

    In a

    given month, Dan sells...

    1000

    burgers x 2.00 = $2,000 1000 x TC(B) = $1,250

    800

    fries x 1.00 = $800 800 x TC(F) = $160

    900

    drinks x 1.00 = $900 900 x TC(D) = $135

    Revenue

    R = $3,700 Costs C = $1545

    Profit

    P = R-C = 3700-1545 = $2155

    Profit

    margin (P/R) = 2155/3700 = $58.24%

    This

    assumes that Dan employs 0 people. Now, let's say Dan hires Jimmy at

    a rate of $7.50 an hour, the minimum wage. Let's also say that Jimmy

    works full time or 40 hours a week.

    Jimmy's

    monthly wage cost = 4(40 x 7.50) = $1,200

    Total

    Cost = 1545+1200 = 2745

    Profit

    = $955, P/R = 25.8%

    Those

    are pretty cushy margins for any business, but we also didn't account

    for rent, tax, etc.

    A few

    months later, the protestors get their way, and the minimum wage is

    increased to $15 per hour, doubling Jimmy's wage cost. Let's pretend

    for now that the cost of all other inputs remain the same and that

    Dan achieves equal sales figures.

    R =

    3700, C= 1545+2400 = 3945, P = -245, P/R = -6.62%

    Dan

    rationally decides that losing money is bad for his business, duh!

    Let's now assume that Dan can't fire Jimmy. How much would Dan have

    to raise prices by to achieve like profit, $955?

    Dan

    would need to raise $1200 in revenue. In order to do that, he would

    have to raise prices by ΔC/R...

    1200/3700 = 0.324 or 32%.
    A burger would now

    cost $2.64 and fries and drinks would cost $1.32. Assuming like sales

    figures and all other costs, R = $4884.

    4884-3945

    = $939, lower due to the rounding down.

    It's

    important to note that Dan's margins have declined substantially.

    939/4884 = 19.2%

    Now

    I'm going to demonstrate that the two assumptions regarding sales and

    other costs are bunk in the real world. I will still use the

    inability to fire workers assumption for now, though.

    Dan's

    cost of other inputs will also rise substantially because other firms

    will have to increase prices by ΔC/R. Let's make the assumption (for

    simplicity) that ΔC/R = 32% for all firms in Dan's supply chain,

    that is, the companies who make the things Dan buys in order to make

    burgers, fries, and drinks. So the cost of Dan's inputs rise by 32%

    TC(B)

    = 2.00 x 1.32 = 1.65

    TC(F)

    = 0.20 x 1.32 = 0.26

    TC(D)

    = 0.15 x 1.32 = 0.20

    To

    maintain like P of $955, Dan would have to hike prices even higher.

    Still assume like sales figures...

    $1.65

    x 1000 = 1650

    $0.26

    x 800 = 208

    $0.20

    x 900 = 180

    Costs

    = $2,038

    Total

    Costs = 2038+2400 = 4438.

    ΔC

    = 1693

    Dan

    now needs to raise $1693 in revenue. 1693/3700 = 46%.
    Now, the cost of Dan's

    burger would be $2.92, and fries and drinks would be $1.46.

    Dan's

    profit margins have once again dropped.

    R

    = 3700(1.46) = 5402

    P

    = 5402-4438 = $964

    P/R

    = 964/5402 = 17.8%

    As

    mentioned before, this assumes that Dan can actually maintain like

    sales figures while hiking prices by 46%. As you all know, that isn't

    going to happen! If you increase the price of anything, people will

    buy less of it, that's a Law
    of Demand.

    Once

    again, for the sake of simplicity (I really don't want to throw

    calculus in the mix here), let's assume the relationship between the

    price and quantity demanded for Dan's menu items are 1-for-1. In

    other words, an increase in price of 46% would mean a decrease in

    quantity demanded (or sales) of 46%.







    Dan
    would bring in substantially less revenue.




    540
    x 2.92 = $1576.80

    432
    x 1.46 = $630.72

    486
    x 1.46 = $709.56

    Revenue
    = $2917.08



    540
    x 1.65 = $891

    432
    x 0.26 = $112.32

    486
    x 0.20 = $97.20

    Costs
    = 1100.52+2400 = 3500.52

    Profit
    = -$583.44



    This
    leads to the disqualification of our other assumption. Dan would
    absolutely have to cut
    hours of his employees or lay them off to save costs.
    There
    are two sides to the profit equation! Cutting costs is substantially
    easier.
    But, Dan would
    have to fire Jimmy, and in the end would most likely run out of
    business.



    Which
    brings us to the conclusion that raising
    the minimum wage causes an increase in unemployment.










    When
    the minimum wage is raised, more people would like to "sell their
    labor" for that wage, i.e., more people want to enter the labor
    force. The red line, supply of labor, reflects that relationship.
    However, when the minimum wage is raised, as shown extensively above,
    employers are less willing to hire workers at that rate. The blue
    line, demand of labor, reflects that relationship. When you place the
    minimum wage above the market clearing wage, denoted as W*, you get
    unemployment. Period.



    The
    workers who are not let go or do not receive hour cuts will only
    benefit marginally and only in the very short run. As the effects of
    labor cost increases work their way into the economy, the prices of
    the things that these employees buy will rise. The costs of
    necessities as a percentage of the poor's wages are already
    disproportionately higher compared to the middle class or the
    wealthy. It isn't as if the price of only burgers will increase!
    Those who lose their jobs due to this policy will be greatly affected
    because of this. In addition, many new workers will be priced
    out of the market.
    This
    means that their productivity does not justify a wage of $15 an hour,
    so they are never hired in the first place. Many of these potential
    workers would be teens in need of that first job experience. A hike
    in the minimum wage will actually put
    less money in the pockets of the poor.





    Now,
    recall what I said about profit margins. A common argument for an
    increase in the minimum wage is that "big corporations" can
    afford this hike because they make billions in profits. It
    doesn't matter if you make $1 billion if it cost you $999,999,999 to make
    that billion!
    In other
    words, what matters is...



    PROFIT
    MARGINS




    Corporations
    like Wal-Mart and McDonald's operate under very thin profit margins,
    i.e., they make very little on each individual sale. Therefore, the
    way to make more nominal profit, the end number (in the example,
    $955), is to increase total sales. That's why you see so many
    Wal-Marts and McDonald's restaurants! They make a tiny profit on each
    sale but make many millions of sales.



    Wages
    are the most immediate and highest cost to any business. You can't
    pay for anything until you've paid your workers. In the example, the
    cost of labor, even at $7.50, was the highest cost.



    A
    hike to $15 would put huge pressure on Wal-Mart and McDonald's to cut
    hours, lay off workers, and increase prices. They simply would have
    to do so to stay alive. In the example, Dan didn't really have the
    choice to fire Jimmy because Jimmy was his only employee.



    Wal-Mart
    has an average
    quarterly profit margin
    of around 3.5%. On every $1.00 of
    revenue, they take home $0.035. An increase to $15/hour would
    absolutely hammer that. Is it better for those workers to have jobs
    or not? Plus, do you really think that McDonald's is going to pay its
    workers $15 an hour? Not
    in the long term!




    So,
    what about CostCo? Why would they support a hike in the minimum wage?

    Think
    about this; who is CostCo's biggest competitor... WAL-MART! CostCo
    would no doubt like to see it's biggest competitor take a hit. If
    prices rise at Wal-Mart, the incentive to go to CostCo becomes much
    higher, because the difference in prices between the two gets
    smaller.



    I'm
    not saying that Wal-Mart and McDonald's are the best corporations in
    terms of ethics. I don't buy things from either. (The Wal-Mart in my
    area is filthy dirty and is always busy, plus, there's only ONE
    register open. Gee, doesn't that prove the point!) I only used them
    because they are common targets of outrage.





    The
    concepts I want readers to takeaway from this article are:


    1. Think
      on the margin.



    2. Do
      cost/benefit analysis.


    3. You
      can't mandate your way to a better life.


    4. People
      respond to incentives.


    5. Do
      your own research. Don't listen to the "talking heads."