A closed box with a square base is to have a volume of 16,000 cm3. The material
Question:
A closed box with a square base is to have a volume of 16,000 cm3. The material for the top and bottom of the box costs $3 per square centimeter, while the material for the sides costs $1.50 per square centimeter. Find the dimensions of the box that will lead to the minimum total cost. What is the minimum total cost?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (12 reviews)
The total cost is Cx 32x 2 1504xy 6x 2 6xy The volume is implies that Cx is minimized when ...View the full answer
Answered By
Sufiyan Ahmed Tariq
I am a Chartered Accountant and an Associate Public & Finance Accountant. I also hold a bachelors of Commerce degree. I have over 8 years of experience in accounting, finance and auditing. Through out my career, I have worked with many leading multinational organisation.
I have helped a number of students in studies by teaching them key concepts of subjects like accounting, finance, corporate law and auditing. I help students understanding the complex situation by providing them daily life examples.
I can help you in the following subject / areas:
a) Accounting;
b) Finance;
c) Commerce;
d) Auditing; and
e) Corporate Law.
4.90+
7+ Reviews
17+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
A rectangular box with a square base is to be formed from a square piece of metal with 12-inch sides. If a square piece with side x is cut from each corner of the metal and the sides are folded up to...
-
An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out a square from each corner and turning up the sides. See the figure. (a) Express the...
-
A closed box with a square base is required to have a volume of 10 cubic feet. (a) Build a model that expresses the amount A of material used to make such a box as a function of the length x of a...
-
Describe three ways in which a gradual increase in an extracellular signal can be sharpened by the target cell to produce an abrupt or nearly all-or none response.
-
Randy Stone, manager of Specialty Paper Products Company, was agonizing over an offer for an order requesting 5,000 boxes of calendars. Specialty Paper Products was operating at 70 percent of its...
-
Redo problem 5 under the assumption that the tax rate is 40 percent, and the cost basis of the business is only \($10,000\). What will the net proceeds be after the payment of the debt and the taxes?...
-
What is the probability that the team with the worst record will win the second pick, given that the team with the best record, ranked 14th, wins the first pick?
-
Assume that a security model is needed for the protection of information in your class. Using the CNSS model, examine each of the cells and write a brief statement on how you would address the three...
-
Reconciling between Effective and Statutory Tax Rates nondeductible fines and added $ 2 , 8 0 0 in tax - exempt municipal interest revenue to pretax GAAP income. The statutory tax rate is 2 5 % ....
-
CHB, Inc., a bank holding company that is evaluating the potential for expanding into the state of Ohio. State law permits establishing branches in any county that is adjacent to a county in which a...
-
A 17-ft ladder is placed against a building. The base of the ladder is slipping away from the building at a rate of 9 ft per minute. Find the rate at which the top of the ladder is sliding down the...
-
Find the elasticity of demand (E) for the given demand function at the indicated values of p. Is the demand elastic, inelastic, or neither at the indicated values? Interpret your results. q = 400 -...
-
Explain paging and scrolling.
-
As the human resource manager, how would you evaluate the training needs of your staff? How can you ensure that the training you would provide is effective? What data might be used to make your...
-
MARYLAND CORPORATION manufactures three liquid products - Alpha, Beta and Gamma using a joint process with direct materials, direct labor and overhead totaling $560,000 per batch. In addition, the...
-
Three common organizational structures. Mention one organization for each organizational structure which is following a specific organizational structure. Also, provide support to your answer by...
-
You are a retail manager at Kitchen Nightmare, a relatively new store at the mall that sells mostly items for kitchens, like forks, oven mitts, etc.. You have been open since the fall of 2021 and...
-
Examine the extent to which the Department of Veteran Affairs has established any processes or procedures to ensure knowledge retention of departing employees. Why is it important to manage the...
-
Write a Verilog description for an 8-bit binary adder using hierarchical modeling.
-
Repeat Exercise 16.6 using the t-test of the coefficient of correlation. Is this result identical to the one you produced in Exercise 16.6?
-
The per capita consumption of beef in the United States decreased from 115.7 lb in 1974 to 92.9 lb in 2007. Assume a linear function describes the decrease. Write a linear equation defining the...
-
The following table shows the subscribership of cellular telephones in the United States (in millions) for even-numbered years between 2000 and 2008. a. Plot the data by letting t = 0 correspond to...
-
In general, people tend to live longer in countries that have a greater supply of food. Listed below is the 20032005 daily calorie supply and 2005 life expectancy at birth for 10 randomly selected...
-
Break-Even Sales and Sales to Realize Income from Operations For the current year ending October 31, Yentling Company expects fixed costs of $537,600, a unit variable cost of $50, and a unit selling...
-
You buy a stock for $35 per share. One year later you receive a dividend of $3.50 per share and sell the stock for $30 per share. What is your total rate of return on this investment? What is your...
-
Filippucci Company used a budgeted indirect-cost rate for its manufacturing operations, the amount allocated ($200,000) is different from the actual amount incurred ($225,000). Ending balances in the...
Study smarter with the SolutionInn App