Carlita will visit 14 cities in 14 days. She will have a book signing and cooking demonstration in each city, then travel overnight to the next city. The distance between each city averages 240 miles. The publisher will rent a solar powered RV camper, with a weekly rental fee plus a per-mile charge. The rental company hasn’t prepared the final estimate, but showed the publisher two recent invoices for one-week rentals. One was $1,188.15 for a 540 mile trip. The other was $1,310.55 for an 880 mile trip. Carlita will pick up the camper in the first city on the tour and leave it in the last. The other tour costs are: • Cooking demonstration production: $3,450 each • Book signing materials: $1,475 total How much should the publisher budget for total tour expenses?

$52091.95

Step-by-step explanation:

From the given information:

Number of  cities visited = 14

Cost of each cooking demonstration = $3450

Total cost of cooking demonstration = $3450 * 14 = $48300

Book signing material = $1475

∴

Total cost of cooking demonstration and book material is:

= $48300 + $1475 = $49775 (i)

Total meter traveled in visiting 14 cities = 240 * 13 = 3120 miles

However; suppose the weekly rental fee fine = $x  &

the change per mile = $y

Then

y*540 + x = 1188.15    --- (ii)

y*880 + x = 1310.55   --- (iii)

From equation (ii) and (iii)

y *340 = 122.4

y = 122.4/340

y = 0.36

From (ii)

y*540 + x = 1188.15

(0.36)540 + x = 1188.15

x = 1188.15 - (0.36)540

x = 993.75

Hence, the total cost of travelling by RV camper = $1993.75 + 3120 *(0.36)

= $2116.95

Thus, the total budget = $49975.0 + $2116.95

= $52091.95