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
babunello [35]
3 years ago
8

You are in charge of buying office supplies for your business. Your workers use red and black pens. Red pens cost $5 per box and

black pens cost $3 per box. You need at least 10 boxes of pens. You want no more than 7 boxes of black pens and no more than 6 boxes of red pens. You want to minimize the cost to your business.
The objective function for this situation is C = 5x + 3y. What (x, y) pair minimizes cost?
image


(6, 7)


(0, 7)


(3, 7)


(6, 4)
Mathematics
1 answer:
Dmitriy789 [7]3 years ago
4 0

Answer:

C. (3, 7)

Step-by-step explanation:

plug all the numbers into all of the coordinates and (3, 7) is the lowest number :) pls rate 5 stars and thank me

You might be interested in
Write the equation of the parabola in vertex form. Vertex (2,1), point (3, -4)
Ket [755]

Answer:

U=1-5(x-2)^2

Step-by-step explanation:

The equation of the parabola with vertex (h,k) is y=a(−h+x)2+k

Thus, the equation of the parabola is y=a(x−2)2+1

To find a, use the fact that the parabola passes through the point (3,−4): −4=a+1

Solving this equation, we get that a=−5

Thus, the equation of the parabola is y=1−5(x−2)^2

6 0
3 years ago
Jkl is an equilateral triangle jk= 13x+5,KL= 17X-19 AND JL= 8X+35​
stira [4]

Answer:

x = 6

Step-by-step explanation:

Since the triangle is equilateral then sides are congruent.

Equate any 2 sides and solve for x

13x + 5 = 8x + 35 ( subtract 8x from both sides )

5x + 5 = 35 ( subtract 5 from both sides )

5x = 30 ( divide both sides by 5 )

x = 6

JK = (13 × 6) + 5 = 78 + 5 = 83

KL = (17 × 6) - 19 = 102 - 19 = 83

JL = (8 × 6) + 35 = 48 + 35 = 83

ΔJKL is equilateral with side = 83

4 0
3 years ago
What formula should be entered in A3 to compute A1 times B1?
oksano4ka [1.4K]

The formula that should be entered in A3 is = A1 * B1

<h3>How to determine the formula?</h3>

The question implies that:

A3 = A1 times B1

In mathematics, the term "times" means *

So, we have:

A3 = A1 * B1

Remove the variable A3

= A1 * B1

Hence, the formula that should be entered in A3 is = A1 * B1

Read more about excel formulas at:

brainly.com/question/1285762

#SPJ1

8 0
1 year ago
A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma
Gnoma [55]

Answer:

The  value  is  C \approx \$76

Step-by-step explanation:

From the question we are told that

   The  area of the rectangular pen is  A =  24 \ yard^2

     The  cost of material used to make one side is  z = \$ 6

    The  cost of material used to make the other sides is  r  =  \$ 3

Now  , the fence to be build around the rectangular pen  has four sides, the first opposite sides are equal, let assume each of the to be x yard   and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

       C =  zx  +  r (x + 2y )

=>   C =  6x  +  3(x + 2y)

=>   C =   9x  +  6y

Now the area of the fence is mathematically represented as

      A =  x* y =  24

=>    y  =  \frac{24}{x}

=>  C =   9x  +  6[\frac{24}{x} ]

=>   C =   9x  +  [\frac{144}{x} ]

Now differentiating

     C'  =  9 + 144*  (-2) x^{-2}

     C'  =  9 - 288x^{-2}

At minimum C' =  0

So  

     9 - 288x^{-2} =  0

     x^{-2} =  0.03125

    x =  \sqrt{\frac{1}{0.03125} }

    x =  5.66

Now substituting for x in the equation above to obtain minimum cost

       C =   9(5.66)  +  [\frac{144}{5.66} ]

       C \approx \$76

   

 

8 0
3 years ago
A group of church members chartered a bus for $832. After making the arrangements, 6 more members decided to join the excursion
g100num [7]
Let x = # of original members
Cost per person (originally) = 832/x
Cost per person after 6 more people = 832/(x+6)
Solve 832/x=832/(x+6) +6  (because the cost was reduced by 6 
Solve for x.
x = 26 or -32 (but x is number of members, so it can't be negative)
# of original members is 26.
Original cost is 832/26 = $32 per person.
3 0
3 years ago
Other questions:
  • Which answer correctly estimates the quotient of 8.39 ÷ 1.22??
    9·1 answer
  • The numerator of a fraction is 3 less then the denominator. If 1 is added to the numerator, the value of the fraction becomes 3/
    13·1 answer
  • Malcom has a gift card with a 150$ balance. He buys several video games that cost 35$ each.after purchases his gift card balance
    9·1 answer
  • Which is bigger, 7/8" or 9/16"?
    10·2 answers
  • What equivalent expression is equal to this<br><br><br>(2^-4*2^-3)^5
    6·1 answer
  • Why are job security credit history, and debt-to-Income ratio so important to lenders when considering people for loans?
    15·2 answers
  • Which expression is equivalent to the expression shown? (5^4)2
    12·1 answer
  • Mr. Austin is driving 390 miles to visit the Gateway Arch in St. Louis, Missouri. He dries at an average rate of 65 miles per ho
    13·1 answer
  • 24.286x10 what is the answer i got 24.286
    6·2 answers
  • Can you please help me give the Complete solution <br><br>(nonsence report )​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!