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
Solve the system of equations using the tables below
Bezzdna [24]

Answer:

  (x, y) = (0, 3)

Step-by-step explanation:

(x, y) = (0, 3) is in both tables. Hence, that point is a solution to the system of equations.

7 0
3 years ago
Which of the following are valid names for the given polygon
barxatty [35]
B,C and D are correct because all of those choices include letters which are arranged in order from left of right.
5 0
3 years ago
Quadrilateral ABCD ​ is inscribed in a circle.
alexdok [17]
When a quadrilateral is inscribed in a circle, the opposite angles are supplementary.

x + 2 + 3x + 6 = 180
4x + 8 = 180
4x = 172
x = 43

Now solve for A
3(43) + 6 = A
129 + 6 = A
135 = A

The measure of angle A is 135 degrees.

Hope this helps =)
7 0
3 years ago
An angle bisector has been created. Solve for x.
poizon [28]
I hope this helps you

4 0
3 years ago
Assume the mean life of an iPhone is 5 years (60 months)and a standard deviation of 8 months If the age in years at which an iPh
melamori03 [73]

Answer:

Answer:

safe speed for the larger radius track u= √2 v

Explanation:

The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.

Also given that r_1= smaller radius

r_2= larger radius curve

r_2= 2r_1..............i

let u be the speed of larger radius curve

now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=

r

1

mv

2

=

r

2

mu

2

................ii

form i and ii we can write

v^2= \frac{1}{2} u^2v

2

=

2

1

u

2

⇒u= √2 v

therefore, safe speed for the larger radius track u= √2 v

8 0
2 years ago
Other questions:
  • Convert 120 km/h to feet per second with an explanation.
    10·1 answer
  • I need the answer ASAP
    8·1 answer
  • Help me answer this question please.​
    10·1 answer
  • A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they double the
    5·1 answer
  • select all the sets that are the three side lengths of right triangles A.8,7,15 B.4, 10, √84 C. √8, 11, √129 D. √1, 2, √3
    15·1 answer
  • PLEASE ANSWER THIS QUESTION!!!!!!!!!
    9·1 answer
  • Share 350m in the ratio of 3:7​
    9·2 answers
  • How do beans cost in 12 pounds?
    10·1 answer
  • Evaluate 9 ÷ 3[(18 − 6) − 22].<br><br> a: 0.188<br> b: 0.375<br> c: 24<br> d: 48
    8·1 answer
  • What is the value of y?<br><br> 2<br> 5<br> 7<br> 8
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!