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Ski – resort and regional development: profile of visitors ... - E-Journal

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104<br />

Stanislav Ivanov<br />

(11)<br />

The total variable costs will be:<br />

(12)<br />

The gross margin, then, is:<br />

(13)<br />

(14)<br />

Differentiating (14) to N <strong>and</strong> G leads us to the contribution <strong>of</strong> one room with a nonguaranteed<br />

/equation (15)/ or guaranteed booking /equation (16)/ to the gross margin <strong>of</strong> the hotel:<br />

(15)<br />

(16)<br />

Obviously , i.e. it is more pr<strong>of</strong>itable for the hotel to have guaranteed<br />

bookings rather than non-guaranteed ones.<br />

To determine the marginal rate <strong>of</strong> substitution between guaranteed <strong>and</strong> non-guaranteed bookings<br />

we express N as a function <strong>of</strong> G using (14):<br />

(17)<br />

The first expression in the brackets equals to (4). Therefore, when we include the monetary<br />

costs in the extended model, more rooms with nonguaranteed bookings will be needed in<br />

order to substitute one room with a guaranteed reservation.<br />

Tourism Today - Fall 2007 - Full Paper

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