Question

In: Advanced Math

A coffeehouse sells a pound of coffee for ​$8.25. Expenses are ​$3 comma 500 each​ month,...

A coffeehouse sells a pound of coffee for ​$8.25. Expenses are ​$3 comma 500 each​ month, plus ​$3.50 for each pound of coffee sold. ​(a) Write a function​ R(x) for the total monthly revenue as a function of the number of pounds of coffee sold. ​(b) Write a function​ E(x) for the total monthly expenses as a function of the number of pounds of coffee sold. ​(c) Write a function ​(Rminus​E)(x) for the total monthly profit as a function of the number of pounds of coffee sold. ​(a) The revenue function is ​R(x)equals nothing. ​(Simplify your answer. Use integers or decimals for any numbers in the expression. Do not include the​ $ symbol in your​ answer.) ​(b) The expense function is ​E(x)equals nothing. ​(Simplify your answer. Use integers or decimals for any numbers in the expression. Do not include the​ $ symbol in your​ answer.) ​(c) The profit function is ​(Rminus​E)(x)equals nothing. ​(Simplify your answer. Use integers or decimals for any numbers in the expression. Do not include the​ $ symbol in your​ answer.)

Solutions

Expert Solution


Related Solutions

A wholesale store buys 500 of their most popular coffee mugs each month. The cost of...
A wholesale store buys 500 of their most popular coffee mugs each month. The cost of ordering and receiving shipments is $12 per order. Accounting estimates annual carrying costs are $3.60. The supplier lead time is 2 operating days. The store operates 240 days per year. Each order is received from the supplier in a single delivery. There are no quantity discounts. 6. What quantity should the store order with each order? 7. How many times per year will the...
Suppose the pound/$ spot rate is (pound symbol) .7996, the 3-month forward rate is (pound symbol)...
Suppose the pound/$ spot rate is (pound symbol) .7996, the 3-month forward rate is (pound symbol) .7923, short-term interest rates in the US and Britain are .025% and .0637% respectively, use the theory of (un)covered interest rate parity to show why investors may or may not decide to invest $2m in the US or UK. Is the pound in a forward premium or discount? Why?
A perpetuity immediate pays 1000 each month for 7 years, and then 500 each month thereafter....
A perpetuity immediate pays 1000 each month for 7 years, and then 500 each month thereafter. If the nominal annual interest rate is 3% convertible monthly, and the present value of the perpetuity. Be sure to include the appropriate equation or expression of value that you use.
A 100 unit apartment building is for sale. It rents for 500/unit per month. Operating expenses...
A 100 unit apartment building is for sale. It rents for 500/unit per month. Operating expenses for the building are 200,000 per year and property taxes are 10,000 a year. Lisa wants to buy it and thus needs to arrange a mortgage loan of 3,000,000 at j4 = 10% amortized over 25 years with monthly payments. The banker assessed the lending value of the property to be 4,000,000. The banker requires a minimum DCR of 1.15, (a) Does Lisa qualify...
Mary has standard indifference curves (convex). She always buys 3 pounds of coffee each month. Even...
Mary has standard indifference curves (convex). She always buys 3 pounds of coffee each month. Even when the price of coffee doubles, Mary buys 3 pounds of coffee. (a) What is Mary’s price elasticity for coffee? (b) Plot Mary’s indifference curves. Plot coffee on the horizontal axis and money to spend on other goods on the vertical.
A company produces and sells 3 types of organic fertilizer. A pound of Brand 1 earns...
A company produces and sells 3 types of organic fertilizer. A pound of Brand 1 earns a profit of $3 per pound. Brand II earns a profit of $4 per pound, and Brand III earns a profit of $3 per pound. 1 pound of Brand I requires 3 pounds of raw material and takes 2 hours of labor to produce it. 1 pound of Brand II requires 4 pounds of raw material and takes 3 hours of labor to produce...
Company produces and sells 55 comma 00055,000 boxes of specialty foods each year. Each box contains...
Company produces and sells 55 comma 00055,000 boxes of specialty foods each year. Each box contains the same assortment of food. The company has computed the following annual​ costs: Cost Item Total Costs Variable production costs $330,000 Fixed production costs 520,000 Variable selling costs 165,000 Fixed selling and administrative costs 160,000 Total costs $1,175,000 GarrardGarrard normally charges $ 21$21 per box. A new distributor has offered to purchase 5 comma 5005,500 boxes at a special price of $ 17$17 per...
You deposit $500 at the beginning of each month into your saving account every month. After...
You deposit $500 at the beginning of each month into your saving account every month. After five years (60 deposits total), your account value is $50,000. Assuming monthly compounding, what is your monthly rate that the bank provides? a.   1.22% b.   1.14 c.    1.43% d.   1.57%
3) Monthly sales at a coffee shop have been analyzed. The seasonal index values are Month...
3) Monthly sales at a coffee shop have been analyzed. The seasonal index values are Month Index Jan 1.38 Feb 1.42 Mar 1.35 Apr 1.03 May 0.99 June 0.62 July 0.51 Aug 0.58 Sept 0.82 Oct 0.82 Nov 0.92 Dec 1.56 and the trend line is 74123 + 26.9(t). Assume there is no cyclical component and forecast sales for year 8 (months 97 - 108). PLEASE NOTE I AM USING EXCEL FOR THIS HOMEWORK PLEASE SHOW FORMULAS AND WORK THANKS
Moonbucks roasts 2 types of coffee: Guatemala Gold and Sumatra Silver. Each month, the demand for...
Moonbucks roasts 2 types of coffee: Guatemala Gold and Sumatra Silver. Each month, the demand for each coffee type is uncertain. For Guatemala Gold, the mean demand is 20,000 pounds and the standard deviation is 5,000 pounds. For Sumatra Silver, the mean demand is 10,000 pounds and the standard deviation is 5,000 pounds. The demand for Guatemala Gold and Sumatra Silver is negatively correlated with a correlation of −0.4, since some customers tend to buy whichever coffee is on sale...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT