At a price of $7.75 per ticket, a musical theater group can fill every seat in their 1800 seat performance hall. For every additional dollar charged for admission, the number of tickets sold drops by 100.

a) What ticket price maximizes revenue? Round your answer to the nearest cent.
price = $

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b) How many seats are sold at that price? Round your answer to the nearest whole number.
number of seats sold =

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You start a t-shirt manufacturing plant. You spend $8 on each shirt you produce,

and then sell them to a clothing store for $10 each. Each month, your building lease costs you $12000.

(a) Compute a cost function C(x) for the business.
(b) Compute a revenue function R(x) for the business.
(c) Compute a profit function P (x) for the business.

(d) Finally, compute the marginal cost function C(x).

A company produces two types of solar panels per​ year: x thousand of type A and y thousand of type B. The revenue and cost​ equations, in millions of​ dollars, for the year are given as follows.

​R(x,y)equals=3x+5y

​C(x,y)equals=x^2-3xy+7y^2+12x-56y-2

Determine how many of each type of solar panel should be produced per year to maximize profit.

The rate of crude oil production from 2008 to 2013 by an oil company can be approximated by ?(?) = 6.2?^2 − 146? + 1910 million barrels per year where ? is time in years since the start of 2000. During that time, the price of oil was approximately ?(?) = 47?^0.046? dollars per barrel. Obtain an expression for the total oil revenue ?(?) from the start 0f 2008 to the start of year ? as a function of ?. You can round all coefficients to three significant digits.

Madge is a sole trader who has decided to form a small proprietary company and move her business into a corporate form. Madge’s business is quite small, with some assets and modest revenue. She has paid tax personally in the past. Madge is now curious as to whether there are any requirements on the small company she is about to register. What are the procedures and reporting requirements on a small proprietary company regarding records, accounts and reports required by the Corporations Act and ASIC?

Data on three promissory notes accepted by Sheridan Ltd. during 2021 follow.

Determine the missing amounts.

Can you please help me?

(2) Consider an asset that is 3 years old and has a remaining physical life of 2 years with the following projected cash flows:

EOY Revenue Operating Cost Salvage Value

4 $1,200 $800 $300

5 $1,100 $900 $0

Assume that the asset may currently be sold for $600 and that the before tax MARR is 10%. What is the PW of keeping the asset for TWO more years? Answer is -71.08 but I don't know how to get to it

Bull’sEye sells gift cards redeemable for Bull’sEye products either in-store or online. During 2021, Bull’sEye sold $2,050,000 of gift cards, and $1,850,000 of the gift cards were redeemed for products. As of December 31, 2021, $151,000 of the remaining gift cards had passed the date at which Bull’sEye concludes that the cards will never be redeemed. How much gift card revenue should Bull’sEye recognize in 2021?

Multiple Choice

• $2,001,000

• $1,899,000

• $2,050,000

• $1,850,000

The geegaw industry consists of two Cournot competitors producing an identical product. The inverse demand equation is

            The total cost equations of the two firms are:

            a.         Determine the total revenue equation for each firm.

            b.         What is the reaction function of each firm?

            c.          What is the Cournot-Nash equilibrium level of output?

            d.         What is the market-determined price of geegaws?

            e.         Calculate each firm’s total profit.