Pricing Concepts -Transportation Engineering

A transportation firm is producing a transport service (with quantity Q trips) with the following cost and revenue functions:

Total Cost: TC=$36,000 + $200Q + $0.4Q^2

Total Revenue: TR=$900Q-$0.1Q^2

Set up a table or spreadsheet for trip output/supply (Q), price (P), total revenue (TR), marginal revenue (MR), total cost (TC), marginal cost (MC), average cost (AC), total profit (π), and marginal profit (Mπ). Establish a range for Q from 0 to 1,000 in increments of 100 (i.e., 0, 100, 200, ..., 1,000). Using this spreadsheet, create a graph with AC and MC as dependent variables and trip output/supply (Q) as the independent variable.

a) At what combination of price P and supply Q is profit maximized? Why?

b) At what price P and supply Q is average cost (AC) minimized? Why?

3. Vacation Island has only one hotel on the entire island. The demand schedule to rent a room for a-night at the hotel is given bellow. Price per night Quantity demanded $150 0 $130 1 $110 2 $90 3 $70 4 $50 5 $30 6 a) Calculate the hotel’s total revenue and its marginal revenue. Fill in the table below. Price Quantity Total Revenue Marginal Revenue $150 0 - $130 1 $110 2 $90 3 $70 4 $50 5 $30 6 b) The marginal costs are listed in the table below. What price will the hotel charge to maximize its profit? Explain. Quantity Marginal Cost 0 - 1 $40 2 $43 3 $50 4 $61 5 $76 6 $95 c) How many rooms will be rented, when the hotel maximizes its profit? Explain.

Assume a variable cost of $10 per table and an average spending of $60 per table.With the daily deal ($60 for $30 coupon), Groupon provides Mr. Chang with a revenue of $17 pertable. The analysis provided in the New York Timesblog indicated that Mr. Chang makes money($7 per table) through the daily deal (rather than incurring advertising expense).

Question 3:After some negotiations Mr. Chang receives the following alternative offers:1. A Groupon deal with a revenue of $22 per table.2. A Savored deal in which the total revenue when reserving xtables isr(x) = 400 + 17·(x−10).This deal has the condition that at least 10 tables need to be reserved for Savored customers.3. A Savored deal in which the total revenue per table is $18 is the number of reserved tables issmaller than 30 and $25 if the number of reserved tables is at least 30.

Catena’s Marketing Company has the following adjusted trial balance at December 31, 2021. No dividends were declared. However, 470 shares issued at the end of the year for $4,700 are included below:

Prepare a classified statement of financial position at December 31, 2021.

An economist estimates that a football team faces the below demand schedule for tickets for each home game it plays. The economist estimates that the team’s marginal cost of attendance, and thus for all tickets sold, is $20.

1. Construct a table showing columns for the firm’s Total Revenue, Marginal Revenue and Marginal Cost.
2. Draw the demand, marginal revenue and marginal cost curves of the football team.
3. What is the team’s profit maximizing price and quantity of tickets it needs to sell?
4. What is the price elasticity of demand at the price you determined in part (c)?
5. What is the team’s total revenue when it produces its profit maximizing output?
6. Assume that the team’s total cost of producing its profit maximizing output is $150,000. What is the team’s total profit at this output level

General Lighting During the first quarter of the current year, the company sold 4,000 batteries on credit for $150 each plus state sales tax of 6%. Refer to General Lighting. The price of each battery includes a $1.95 federal excise tax. Any taxes collected must be paid to the appropriate governmental units at the end of the quarter. Which of the following is the proper journal entry to record for the sale of the batteries?

a. Accounts Receivable 636,000, Sales Tax Expense 36,000, Excise Tax Expense 7,800, Sales Revenue 643,800

b. Accounts Receivable 636,000, Sales Revenue 592,200, Sales Tax Payable 36,000, Federal Excise Tax Payable 7,800

c. Accounts Receivable 636,000, Excise Tax Expense 7,800, Sales Revenue 607,800, Sales Tax Payable 36,000

d. Accounts Receivable 643,800, Sales Revenue 600,000, Sales Tax Payable 36,000, Federal Excise Tax Payable 7,800

Dupli-Pro Copy Shop provides photocopying service. Next year, Dupli-Pro estimates it will copy 3,050,000 pages at a price of $0.1 each in the coming year. Product costs include:

There is no variable selling expense; fixed selling and administrative expenses total $42,000.

1. Calculate the break-even point in units.
units

2. Calculate the break-even point in sales revenue.
$

3. Calculate the margin of safety in units for the coming year.
units

4. Calculate the margin of safety in sales revenue for the coming year.
$

5. What if the total selling and administrative expenses are reduced to $18,600? Recalculate the following:

Metlock Inc. sells appliances to Seasons Department Store. A recent order requires Metlock to manufacture and deliver 500 toasters at a price of $88 per unit. Metlock’s manufacturing costs are approximately $44 per unit. The following schedule summarizes the production and delivery record of Hydra:

A) Assuming that Metlock recognizes revenue when the toasters are produced, how much revenue should be recognized in each of the three years?

B) Assuming that Metlock recognizes revenue at delivery, how much revenue should be recognized in each of the three years?

C) Calculate net income for the three periods under each of the two preceding assumptions. (Assumption A and B, for all 3 years)