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natta225 [31]
3 years ago
5

In Andrew’s Furniture Shop, he builds bookshelves and tables. Each type of furniture takes him about the same time to make. He f

igures he has time to make, at most, 25 pieces of furniture by this Saturday. The materials for each bookshelf cost him $20.00 and the materials for each table cost him $45.00. He has $675.00 to spend on materials. Andrew makes a profit of $60.00 on each bookshelf and a profit of $100.00 for each table. How many of each piece of furniture should Andrew make to maximize profit? A. define variables B. Write the constraint inequalities that represent the situation, and explain what each of the inequalities represents. (You should have four inequalities.) C. What are the vertices of the feasible region?
Mathematics
1 answer:
Paul [167]3 years ago
8 0
A. You may set the variables in either order. But for argument sake, let's set as follows:

x = Amount of bookshelves
y = Amount of tables

B. Because of the amount of things you need to make, the following is an inequality using those variables.

x + y > 25

Plus you can determine a second inequality based on the amount of money that you have to spend. 

20x + 45y < 675

Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables. 

C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices. 

(0,0)
(18, 7)
(0, 15)
(33.75, 0) or (33, 0) if you insist on rounding. 
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Akimi4 [234]
Leonard method is likely to to give an accurate estimate of the mean since his sample was randomly selected from campers at his camp.

hope this helped
7 0
3 years ago
Read 2 more answers
John is at a local bait shop; he wants to buy bait for his fishing trip. At the store, they are selling live bait for $12 a poun
galina1969 [7]

Answer:

x\geq3

12x+7y\leq63

y\geq0

Step-by-step explanation:

If we let x be the amount of live bait and y be the amount of natural bait, Then we can come up with the following inequalities;

We are told that John would like to get at least 3 pounds of live bait. At least 3 means 3 or more. Since x represents the amount of live bait, we have;

x\geq3

Moreover,we are informed that;

The store sells live bait for $12 a pound and natural bait for $7 a pound. x pounds of live bait would cost 12x while y pounds of natural bait would cost 7y. The total cost would thus be;

12x + 7y

but John only has a budget of $63. This implies that he can spend $63 at most, thus;

12x+7y\leq63

Finally we can have our last inequality as;

y\geq0

8 0
3 years ago
Find the greatest common divisor of 100 and 254, using • prime factorization- • euclidean algorithm-
larisa [96]
Via prime factorization:

100=10^2=2^2\cdot5^2
254=2\cdot127

of which the only common factor is a single power of 2, so \mathrm{gcd}(100,254)=2.

Via the Euclidean algorithm:

254=2\cdot100+54
100=1\cdot54+46
54=1\cdot46+8
46=5\cdot8+6
8=1\cdot6+2
6=3\cdot2+0

which means \mathrm{gcd}(100,254)=2, as expected.
4 0
3 years ago
Pls help me
deff fn [24]

Answer:

Angle 1: Can be measures of triangle: 84

Cannot be angle measures of triangle: 49, 47

Angle 2: Can be measures of triangle: none

Cannot be angle measures of triangle: 50,89,50

Angle 3: Can be angle measures of triangle: 75, 15, 45

Cannot be angle measures of triangle: none

Angle 4: Can be angle measures of triangle: none

Cannot be angle measures of triangle: 25, 22, 133

5 0
2 years ago
Tanner is preparing dinner plates. He has 36 pieces of chicken and 16 rolls. If he wants to make all the plates identical
kherson [118]

Answer:

4

Step-by-step explanation:

First, we find the greatest common factor of 36 and 16.

36 = 2^2 * 3^2

16 = 2^4

GCF = 2^2 = 4

He can make 4 plates.

5 0
3 years ago
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