Tesla Motors Inc.’s top-of-the-line electric car can be delivered in just 20 days, far shorter than the waiting time on the luxury auto maker’s less expensive designs, suggesting it has shifted production to the $105,000 and up sedan to boost revenue.

The Palo Alto, Calif., auto maker launched the dual-motor P85D late last year at a price designed to increase its average transaction prices and potentially bring the money-losing company closer to steady profitability. The company missed its reduced fourth quarter delivery...