All categories

2 years ago

Which ordered pair minimizes the objective function C = 60x + 85y?

Mathematics

1 answer:

Paha777 [63]2 years ago

5 0

Answer:

the that minimizes the function is (80, 50) for which C = 9050

Step-by-step explanation:

(0, 160). (55, 70). (80, 50). (170, 0)..... available pairs missing out in the question

Step 1: to get the pair that minimizes the objective function C = 60x + 85y, we plug in each pair and work out the minimum value of C.

(0, 160): C = (60*0) + (85*160) = 13600

(55, 70): C = (60*55 + (85*70) = 9250

(80, 50): C = (60*80) + (85*50) = 9050

(170, 0): C = (60*170) + (85*0) = 10200

Hence the minimum value of C occur at (80, 50)

You might be interested in

During a field trip, 60 students are put into equal-sized groups. Describe two ways to interpret 60÷5 60 ÷ 5 in this context. Fi

Afina-wow [57]

The second question:

Consider the division expression $7\frac{1}{2} / 2$ . Select all multiplication equations that correspond to this division expression.

$2 * ? = 7\frac{1}{2}$ $7\frac{1}{2} * ?= 2$ $? * 2 = 7\frac{1}{2}$

$2* 7\frac{1}{2} = ?$ $? * 7\frac{1}{2} = 2$

Answer:

1. See Explanation

2. $2 * ? = 7\frac{1}{2}$ and $? * 2 = 7\frac{1}{2}$

Step-by-step explanation:

Solving (a):

Given

$Students = 60$

$Group = Equal\ Sized$

Required

Interpret $\frac{60}{5}$ in 2 ways

Interpretation 1: Number of groups if there are 5 students in each

Interpretation 2: Number of students in each group if there are 5 groups

Solving the quotient

$Quotient = \frac{60}{5}$

$Quotient = 12$

For Interpretation 1:

The quotient means: 12 groups

For Interpretation 2:

The quotient means: 12 students

Solving (b):

Given

$7\frac{1}{2} / 2$

Required

Select all equivalent multiplication equations

Let ? be the quotient of t $7\frac{1}{2} / 2$

So, we have:

$7\frac{1}{2}/2 = ?$

Multiply through by 2

$2 * 7\frac{1}{2}/2 = ? * 2$

$7\frac{1}{2} = ? * 2$

Rewrite as:

$? * 2 = 7\frac{1}{2}$ --- This is 1 equivalent expression

Apply commutative law of addition:

$2 * ? = 7\frac{1}{2}$ --- This is another equivalent expression

8 0

2 years ago

Which phrase describes only a square?

denis-greek [22]

Answer:

c is correct answer for you

5 0

2 years ago

Paint costing $19 per gallon is to be mixed with thinner costing $3 per gallon. How much of each should be added to make 16 gall

Evgen [1.6K]

Let x represent gallons of $19 paint
let y represent gallons of $3 paint

first you make your 2 equations

x+y=16, y=16-x
(19x+3y) ÷ 16 = 14

then you use substitution

14 = (19x + 3(16-x) ) ÷16
224 = 19x + 48 - 3x
176 = 16x
11 = x, so there's 11 gallons of $19 paint
recall that x+y=16
11+y=16
5=y

so there are 11 gallons of $19 paint and 5 gallons of $3 paint

4 0

2 years ago

Which of the following is a point of tangency on the circle below? Help ASAP please

kumpel [21]

Answer:

Point B

Step-by-step explanation:

a point of tangency on a circle is where an outside line touches the outer circle at one point (the outside line touching it only once is what makes that line a tangent) so in this case the point of tangency is Point B

Please mark as Brainliest :)

6 0

2 years ago

Von mixes tomato sauce and milk to make soup. First he puts 150 milliliters of

elixir [45]

Answer:

C, 350

Step-by-step explanation:

So we know that each dark mark on the measuring cup represents 100 mL. Using this information, we can now discover that the lighter marks are 50 mL more than a darker mark. Because the liquid is in between 300 and 400, we can take the average of these numbers to get a final answer of 350.

Hope this helps!

7 0

2 years ago

Read 2 more answers