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
steposvetlana [31]
2 years ago
10

A florist can make a grand arrangement in 18 minutes or a simple arrangement in 10 minutes. The florist makes at least twice as

many of the simple arrangements as the grand arrangements. The florist can work only 40 hours per week .The profit on the simple arrangements is $10 and. the profit on the grand arrangements is $25. hind the number and type of arrangements that the florist should produce to maximize profit.​

Mathematics
1 answer:
Colt1911 [192]2 years ago
8 0

Answer:

See explanation

Step-by-step explanation:

Let x be the number of simple arrangements and y be the number of grand arrangements.

1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so

x\ge 2y

2. A florist can make a grand arrangement in 18 minutes =\dfrac{3}{10} hour, then he can make y arrangements in \dfrac{3}{10}y hours.

A florist can make  a simple arrangement in 10 minutes =\dfrac{1}{6} hour, so he can make x arrangements in \dfrac{1}{6}x hours.

The florist can work only 40 hours per week, then

\dfrac{3}{10}y+\dfrac{1}{6}x\le 40

3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.

The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.

Total profit: $(10x+25y)

Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines x=2y and \dfrac{3}{10}y+\dfrac{1}{6}x=40

But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is

\$(10\cdot 126+25\cdot 63)=\$2,835

You might be interested in
adams car can travel 450 miles on a full tank of gas. his gas tank can hold 15 gallons. kennys car can travel 416 miles on a ful
Elden [556K]
450/15 = 30 mpg -- Adam's
416/13 = 32 mpg -- Kenny's

Kenny is going to get the better gas mileage at 32 mpg (miles per gallon)

8 0
3 years ago
If w:8=15:24.the value of w is?​
luda_lava [24]

Answer:

5

Step-by-step explanation:

24 divided by 3 is 8

so 15 divided by 3 is 5

3 0
3 years ago
What is the domain of f(x) 5^x-7?
kherson [118]
Domain is the set of number you can use for x we can use any number for x the domain is all real numbers answer is last one
3 0
3 years ago
A business owner noted the features of the 100 cars parked at the business. Here are the results:
xxMikexx [17]
15 is the anwser!!!!!!
8 0
2 years ago
Read 2 more answers
If n is equal to 9×7 what should be added to n to make it 233​
iris [78.8K]
170 should be added because 9x7 is 63 and you would subtract 63 from 233
4 0
3 years ago
Other questions:
  • Use spherical coordinates. let h be a solid hemisphere of radius 1 whose density at any point is proportional to its distance fr
    8·1 answer
  • True or false need help
    13·2 answers
  • Which theorem can you use to prove that AAEB is congruent to ACED?
    5·2 answers
  • Can someone help me on this plz thankyou!!
    5·1 answer
  • A bowl of fruit is on the table.  It contains 3 apples, 5 oranges, and 2 pears.  Ryan and Kenneth come home from school and, at
    5·1 answer
  • In parallelogram ABCD, AE and CF are perpendicular to diagonal BD, and EF = 10 cm. If BD = 28 cm, then how long are DE and BF? (
    9·2 answers
  • 23458+98432 find the sum
    10·1 answer
  • ASAP please help i’ll give brainliest
    9·1 answer
  • Best hockey player hands down is?
    8·2 answers
  • Simplify. Consider all the cases. |7-(12-x)|
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!