1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
EleoNora [17]
3 years ago
8

Your surf shop sells two types of surfboards. The first type A, costs $272 and you make a profit of $29 on each one. The second

type B costs $136 and you make a profit of $17 on each one. You can order no more than 50 surfboards this month, and you need to make at least $1210 profit on them. If you mush order at least one of each type of surfboard how many of each type of surfboard should you order if you want to minimize your cost?
Mathematics
1 answer:
brilliants [131]3 years ago
6 0
Let the number of type A surfboards to be ordered be x and the number of type B surfboards be y, then we have

Minimize: C = 272x + 136y

subject to: 29x + 17y ≥ 1210
                 x + y ≤ 50
                 x, y ≥ 1

From the graph of the constraints, we have that the corner points are:

(20, 30), (41.138, 1) and (49, 1)

Applying the corner poits to the objective function, we have

For (20, 30): C = 272(20) + 136(30) = 5440 + 4080 = $9,520
For (41.138, 1): C = 272(41.138) + 136 = 11189.54 + 136 = $11,325.54
For (49, 1): C = 272(49) + 136 = 13328 + 136 = $13,464

Therefore, for minimum cost, 20 type A surfboards and 30 type B surfboards should be ordered.
You might be interested in
What is the solution to the system of equations?
Minchanka [31]

Answer:

  (1, –5)

Step-by-step explanation:

It is relatively easy to try the offered solutions to see what works.

<u>(1, -5)</u>

  3(1) +10(-5) = -47 . . . true

  5(1) -7(-5) = 40 . . . true

(1, -5) is the solution

_____

As a check, you can try some of the other choices:

<u>(1, 5)</u>

  3(1) +10(5) ≠ -47

<u>(-1, -5)</u>

  3(-1) +10(-5) ≠ -47

<u>(-1, 5)</u>

  3(-1) +10(5) ≠ -47

None of the other choices works in the first equation, so they're not the solution.

4 0
3 years ago
Vance charges $9.50 each time he mows his neighbor's lawn.
Stells [14]

Answer:

c:20 times

Step-by-step explanation:

as always! use factors to solve the problem!! im uhh..

8 0
3 years ago
Read 2 more answers
Find h(6) if h(x) = x2 - 2x - 5.
Alexus [3.1K]
To find h(6), we must plug in 6 into the function.

h(x) = x^2 - 2x - 5

h(6) = 6^2 - 2(6) - 5

= 36 - 12 - 5
= 36 - 17 = 19
3 0
3 years ago
Find the mean of the following data
Evgesh-ka [11]
Hi, the mean for the numbers is 29, B =D
4 0
3 years ago
Read 2 more answers
Show work for all 3 please help
Anni [7]

Answer:

hope it is helpful to you

7 0
2 years ago
Other questions:
  • F(x) = x2 + 3x<br> g(x) = 2x – 5<br><br> Find f (x) + g(x)
    12·1 answer
  • Charlie runs at the speed of 3 yards per second. About how many miles per hour does Charlie runs?
    11·1 answer
  • You need to arrange four of your favorite books along a small shelf. How many different ways can you arrange the books assuming
    6·1 answer
  • What is 5 1/4 ÷ -2 1/2 equal as a mixed number and simplified form
    9·2 answers
  • From a deck of 52 cards, two cards are radomly drawn without replacement. Which expression represents the probability of drawing
    14·1 answer
  • the athletics department paid $1,417.50 for all the dinners at the spring sports banquet. If each dinner cost $13.50,how many we
    7·2 answers
  • Plz help fast (worth 15 pts) A prism and two nets are shown below:
    7·2 answers
  • 2 − 36 = 0 Solve by square roots
    5·1 answer
  • The Gonzalez are buying a house that costs $375,000 and need to 15% of the price for a down payment. How much money do they need
    6·1 answer
  • Expand the following:<br> c) 4(2x +1)
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!