![northpolea](/avatars/15162.jpg)
northpolea
16.10.2020 •
Mathematics
Top Brass Trophy Company, makes large championship trophies for youth athletic teams. At the moment they are planning production for fall sports: football and soccer. Each football trophy has a wood base, an engraved plaque, a large brass football on top, and returns $12 in profit. Soccer trophies are similar except that a brass soccer ball is on top, and the unit profit is only $9. Since the football has an asymmetric shape, its base requires 4 board feet of wood; the soccer base requires only 2 board feet. At the moment there are 1000 brass footballs in stock, 1500 soccer balls, 1750 plaques, and 4800 board feet of wood.
Required:
a. Define your decision variables and variable restrictions.
b. Build and present your linear programming model.
c. If you can, solve your linear programming model by graphical method. Otherwise, state your reason. Note that you can derive an optimal solution exactly by solving related equations.
d. If the number of available plaques is 200, modify your model and solve it again.
Solved
Show answers
More tips
- F Food and Cooking How many stages of coffee roasting are there?...
- G Goods and services Kogda zhdatt Iphone 5? The Latest News and Rumors...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
Answers on questions: Mathematics
- M Mathematics Use the function below to find f(-2) f(x)=5^x a. 1/10 b. 1/25 c. -25 d. -10...
- C Chemistry 46 what are the products when potassium hydroxide reacts with hydrochloric acid? (1) kh(s), cl-(aq), and oh-(aq) (2) k(s), cl2(g), and h2o(ℓ) (3) kcl(aq) and h2o(ℓ)...
- E English A good interviewer asks an interview subject to: A. give background information. B. discuss feelings and details....
Ответ:
a) maximize 12F + 9S
where:
F = football trophies
S = soccer trophies
b) constraints:
wood ⇒ 4F + 2S ≤ 4800
plaques ⇒ F + S ≤ 1750
brass footballs ⇒ F ≤ 1000
brass soccer balls ⇒ S ≤ 1500
c) using solver, the optimal solution is 650F + 1100S = $17,700
d) plaques ⇒ F + S ≤ 200, then
optimal solution is 200F = $2,400
Ответ:
There will be 119 bats in total used.
Given the information above, we know the bottom row has 20. We can then count down in the number of rows by 1 until we get to 14 bats.
Bottom - 20 bats
Second row - 19 bats
Third row - 18 bats
Fourth row - 17 bats
Fifth row - 16 bats
Sixth row - 15 bats
Top row - 14 bats
Now we can add each of them to get our total number.
20 + 19 + 18 + 17 + 16 + 15 + 14 = 119 bats