Your equation is faulty, 10 calls at $49.00 would be $490.00 for "trip" fees.
If you wave this for the 5 you get that leaves a total of $245.00 that you made from the 5 you missed so 5x500 = 2500+245=2745.00 not bad but lets look at what reality says
I will be gentle and set the # of noways to 25% so out of the 10 calls you loose 3 now out of the 7 you land 50% or 4 I am being kind and rounding up
so now you make $147.00 from the three that don't use you and 4x$500=2000.00
$2000.00+ $147.00 = $2147.00
I don't charge take 10 calls get 5 5 x $500.00 =$2500.00 I absobe the cost of the other 5
5x$49.00=#245.00 subtract from the $2500.00,$2500.00-245.00=2255.00
so 2147.00 vs 2255.00
$108.00 dollar difference
ok, please try to follow along here....
again - $75 actual cost to give an estimate....$49 trip charge to attempt to weed out tire kickers and to help recover some cost...
as you have pointed out previously, the trip charge isn't waived, it's just embedded into the quote for the work...
we are working with a $500 job average (including all costs, overhead and profit -----except the $75 direct cost for the estimate)...so we need to earn $2500 to cover all our job costs (labor, material) overhead and profit (less the direct cost for the estimates)...following?
so...you give 10 estimates, your total direct cost is $750....
10 x $75 = $750....still with me?
This means we actually need to earn a total of $3250 from the 5 jobs we sell...
for each estimate you charge $49....so, total billed is $490...did i lose you yet?
for the 5 customers who don't have you do the work, you collect $49 and move on...so you collect a total of $245 from people who decide not to use your company....
So, we can deduct the $245 from the $3250....$3250-$245 = $3005 to be earned by the 5 jobs sold.
for the 5 customers who decide to use your company, you add the $49 into their quote...now remember, the # we are using for this example is $500, not including estimating costs....
so for these 5 customers, we now quote each job at $549....$500 for the job, plus the $49 trip charge...this puts us at $2745 total income from the 5 jobs...we are still
Are you still with me?
So we need to earn $3005 from the 5 jobs, and we are currently at $2745....leaving a difference of $260
To do this we need to divide the divide the $260 between the 5 paying customers....$260 / 5 = $52.
In order to cover this expense, we add $52 to the price of the 5 jobs we sold....
so, for the 5 projects we have sold, we have the following dollar amounts:
$500 - job material, labor, overhead and profit (less the direct $75 cost for each estimate)
$49 - trip charge that becomes embedded in the cost of the job
$52 - the portion of the $260 in direct estimate fees not covered by trip charges, and covered by the customers who hire your company...
this puts the job total at $601 per customer to generate the total of $3004 that we needed...
Are you still following? i know it's long, but it's not difficult...
to sum it up....our assumptions give us these #'s....
material, labor, OH&P = $2500
Direct cost to provide estimates = $750
Total revenue needed = $2500 + 750 = $3250
trip charge for unsold jobs = $49 x 5 = $245
$3250 - $245 = $3005 / 5 sold jobs = $601/job sold revenue required
if we give free estimates under the same assumption...we now need to generate $3250 with just the 5 jobs sold...so $3250/5 = $650/job sold revenue required...
so, no faulty math...you just want to change the assumptions...
but experience tells me that if you aren't selling on low price, you will be lucky to have a closing ration of 40% on free estimates (this is our companies historical average)...however, if you have a trip charge, your closing ratio will be in the 75% range (again, from our historical date - yep, we've operated both ways.)...
now, this has nothing to do with the # of calls lost or not...it's only about the actual cost to perform the estimate...you want to bring in data that doesn't matter...we are simply comparing the cost per estimate run, not per call coming in...the money for the advertising is in your overhead...
so, i would point out that your math may be correct, as is mine, but your premise is faulty. simply because you are attempting to bring in variables that have no effect on the equation i put forth...
but most importantly, all things being equal, the company that charges a dispatch fee can actually charge a lower price and make the same money as the 'free estimate' guy...