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John Schultz is the managing partner of a business that has just finished building a​ 60-room motel.Schultz anticipates that he will rent these rooms for 12,000 nights next year​ (or 12,000 ​room-nights). All rooms are similar and will rent for the same price. Schultz estimates the following operating costs for next​ year:Variable operating costs     $5 per room-nightFixed costs      Salaries and wages     $171,000Maintenance of building and pool     52,000Other operating and administration costs     221,000Total fixed costs     $444,000 The capital invested in the motel is $1,300,000. The​ partnership's target return on investment is 24​%. Schultz expects demand for rooms to be uniform throughout the year. He plans to price the rooms at full cost plus a markup on full cost to earn the target return on investment. What price should Schultz charge for a​ room-night?

Question

John Schultz is the managing partner of a business that has just finished building a​ 60-room motel.Schultz anticipates that he will rent these rooms for 12,000 nights next year​ (or 12,000 ​room-nights). All rooms are similar and will rent for the same price. Schultz estimates the following operating costs for next​ year:Variable operating costs     5perroomnightFixedcosts   Salariesandwages  5 per room-nightFixed costs      Salaries and wages     171,000Maintenance of building and pool     52,000Other operating and administration costs     221,000Total fixed costs     444,000 Thecapitalinvestedinthemotelis444,000 The capital invested in the motel is 1,300,000. The​ partnership's target return on investment is 24​%. Schultz expects demand for rooms to be uniform throughout the year. He plans to price the rooms at full cost plus a markup on full cost to earn the target return on investment. What price should Schultz charge for a​ room-night?

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Solution

To calculate the price Schultz should charge for a room-night, we first need to calculate the full cost per room-night.

Step 1: Calculate the total variable cost Variable cost per room-night is 5.So,for12,000roomnights,thetotalvariablecostwouldbe5. So, for 12,000 room-nights, the total variable cost would be 5 * 12,000 = $60,000.

Step 2: Calculate the total cost Total cost would be the sum of total variable cost and total fixed cost. So, total cost = 60,000(totalvariablecost)+60,000 (total variable cost) + 444,000 (total fixed cost) = $504,000.

Step 3: Calculate the full cost per room-night Full cost per room-night would be total cost divided by total room-nights. So, full cost per room-night = 504,000/12,000=504,000 / 12,000 = 42.

Step 4: Calculate the markup The partnership's target return on investment is 24%. So, the markup on full cost would be 24% of the capital invested. Markup = 24% of 1,300,000=1,300,000 = 312,000.

Step 5: Calculate the markup per room-night Markup per room-night would be total markup divided by total room-nights. So, markup per room-night = 312,000/12,000=312,000 / 12,000 = 26.

Step 6: Calculate the price per room-night The price per room-night would be the sum of full cost per room-night and markup per room-night. So, price per room-night = 42(fullcostperroomnight)+42 (full cost per room-night) + 26 (markup per room-night) = $68.

Therefore, Schultz should charge $68 for a room-night.

This problem has been solved

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