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
Minchanka [31]
3 years ago
15

Toys-A-Go makes toys at Plant A and Plant B. Plant A needs to make a minimum of 1000 toy dump trucks and fire engines. Plant B n

eeds to make a minimum of 800 toy dump trucks and fire engines. Plant A can make 10 toy dump trucks and 5 toy fire engines per hour. Plant B can produce 5 toy dump trucks and 15 toy fire engines per hour. It costs $30 per hour to produce toy dump trucks and $35 per hour to operate produce toy fire engines. How many hours should be spent on each toy in order to minimize cost? What is the minimum cost?
Mathematics
2 answers:
iris [78.8K]3 years ago
5 0

Answer:

88 hours on dump truck and 24 hours on fire engine.

The minimum cost will be $3480.

Step-by-step explanation:

Constraints will be :

d\geq 0 ; f\geq 0

Plant A:

10d+ 5f \geq1000

Plant B:

5d+15f \geq 800

The Cost function is given as:

C=30d+35f

Now graphing this we will get the points (0,200) , (88,24) , (160,0)

So, the answer would be 88 hours on dump truck and 24 hours on fire engine.

And cost will be :

C=30(88)+35(24)

= C=2640+840

= $3480

Citrus2011 [14]3 years ago
4 0

Answer:

88 hours on dump truck

24 hours on fire engine

Minimum cost is $3480

Step-by-step explanation:

D > 0; f >0

Plant A : 10d+5f >100

Plant B: 5d +15f >800

Cost:

C(x,y)+30D+35F

You might be interested in
Find the value of k<br> 4x+y=8<br> y=kx+2<br><br> options<br><br> -4<br> 4<br> -1/4<br> 1/4
nexus9112 [7]

Answer:

4 i think im not sure

Step-by-step explanation:

Subtract yy from both sides of the equation.

4x=8−y4x=8-y

y=kx+2y=kx+2

Divide each term by 44 and simplify.

Tap for more steps...

x=2−y4x=2-y4

y=kx+2

6 0
3 years ago
Brianna works at an electronics store as a salesperson. Brianna earns a 4% commission on the total dollar amount of all phone sa
svetoff [14.1K]

Answer:

P(x)=0.025x+100

Step-by-step explanation:

The 0.025 is 2.5% as a decimal. Then, the +100 is for the base pay amount Hailey receives.

8 0
3 years ago
Read 2 more answers
Find the net price if the $10.00 list price is discounted 10%.
yanalaym [24]

Answer:

9.00

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Which expression results from using the Distributive Property? 2(5 + 3r)
Natasha_Volkova [10]

Answer:

6r + 10

Explanation:

2(5 + 3r)

= (2)(5 + 3r)

= (2)(5) + (2)(3r)

= 10 + 6r

= 6r + 10

5 0
3 years ago
Please help me .
Margarita [4]

Answer:

(2x + 3)(x - 2)

Step-by-step explanation:

use FOIL

First, Outside, Inside, Last

2x x x = 2x²

2x x -2 = -4x

3 x x = 3x

3 x -2 = -6

2x² - 4x + 3x - 6

5 0
2 years ago
Other questions:
  • Please help me out 8th grade math
    12·2 answers
  • Solve the following inequality.<br> 2x + 2(x+5) &lt;+4(8 – 20)
    5·1 answer
  • The diagonals of a rectangle measures 18.2 inches. the width of the rectangle is 6.7 is 6.7 inches. find the length of the recta
    12·1 answer
  • The side lengths of a triangle can be modeled by the following expressions.
    11·1 answer
  • How many liters will a container 45cm by 80cm by 36 cm hold?
    6·1 answer
  • Y times 3=9 y =what
    10·1 answer
  • Identify the slope and y-intercept for each linear function's equation.
    8·1 answer
  • An if then statement is written in the form "If p, then q." The phrase represented by p is called the _____. A. conclusion B. co
    15·2 answers
  • Identify entry Q23 .
    14·1 answer
  • Four students found the mean of the data set 26, 31, 39, 30, 16, 16, 18, 38. which student found the correct mean? ashrita’s wor
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!