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PRCG - Problem - Statement 2

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Pricing Problem Statement 2

Name – Ashwin Bansal

PGID – 62210352

Section I

Q1. What should be the selling price of these machines (bundled with supplies)? (Only one price can
be charged, i.e., everyone who buys must pay the same price, and the buyer must pay immediately.)

Particulars Large users Small users


Copies/year 20,000 2,000
WTP 25,800 6,700
Supplies cost@0.03/copy 600 60
PV of cost 2,274 227
Marginal Cost of machine 1,900 1,900
Total cost of selling machine + supplies 4,174 2,127

Through the above computation we observe that Xeroks is being able to cater to both large and
small users below their WTP. Hence, a price of $6500 would be fair where we’re also sharing some
saving with the users as well.

The above price does not take into consideration the distribution and other costs that the company
might incur.

Q2. Xeroks wonders if it can make more money leasing the machines instead of selling them. The
leasing policy will involve a yearly rental charge (payable at the end of each year) and a charge per
copy made (monitored via a metering device on the machines) cumulated over each year and
payable at the end of the year. Only one leasing plan - i.e., a single rental charge and a single per
copy charge - is being contemplated. What should be Xeroks’ leasing policy? (Assume that each user
also uses a 10% discount rate.)

Assuming that Xeroks would like to earn the same revenue in present value terms in a leasing
contract that it earns in a selling contract, the present value of the total leasing rentals including
charges should on average be $6500 for both large users and small users. Using this approach, we
have computed the following price for the leasing contract -:

Sl.No. Particulars Computation Amount


(a) Yearly cost for rentals 1900/3.79 501
Total yearly revenue Xeroks would like to
(b) earn 6500/3.79 1,715
(c) Yearly cost of supplies (b)-(a) 1,214
(d) Average Copies / year (20000+2000)/2 11,000
(e) Per Copy Charges (c)/(d) 0.11

Hence, our yearly rental charge would be $501/year and per copy charge would be $0.11 copy.
Xeroks can make more money by helping the users with regards to their cash flows.
Q3. Which of the above two plans works better? Why?

The leasing model is better than the selling model because -:

 Leasing adds more value to small users by being able to personalise our product for them.
They are paying much lower lifetime costs for the printer. They are paying around $2800 in
the leasing model against $6500 before.
 For the large customer, we’re able to build in cash flow advantages in our solution and still
deliver our services within their willingness to pay.
 These benefits would also allow the company to increase their market share and attract
further customers.

Q4. Would the advantage of leasing over selling increase or decrease if the relative proportion of
small to large users increased from 1:1 to 2:1? Why?

If the proportion of small to large users increased from 1:1 to 2:1, our overall revenues would
decline. Hence, leasing would not be advantageous compared to selling in this case. This is because
in the leasing model the large users are subsidising our small users. Hence, if there is a decline in
percentage of large users, we’ll see an overall decline in revenues. This assumes that the prices that
we are charging have remained same as before.

01:01 01:02
Large Large
Particulars users Small users users Small users
Copies/year 20,000 2,000 20,000 2,000
Number of users(assumed) 150 150 100 200
PV of Machine Rental 1,900 1,900 1,900 1,900
PV of Supplies
charges@0.11/copy 8,364 836 8,364 836
Rental per machine 10,264 2,736 10,264 2,736
Total Rental 15,39,545 4,10,455 10,26,364 5,47,273
Total revenue 19,50,000 15,73,636

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