A store sells two types of toys, A and B. The store owner pays $8 and $14 for each one unit of toy A and B respectively. One unit of toys A yields a profit of $2 while a unit of toys B yields a profit of $3. The store owner estimates that no more than 2000 toys will be sold every month and he does not plan to invest more than $20,000 in inventory of these toys. How many units of each type of toys should be stocked in order to maximize his monthly total profit?
A store sells two types of toys, A and B. The store owner pays $8 and $14 for each one unit of toy A and B respectively. One unit of toys A yields a profit of $2 while a unit of toys B yields a profit of $3. The store owner estimates that no more than 2000 toys will be sold every month and he does not plan to invest more than $20,000 in inventory of these toys. How many units of each type of toys should be stocked in order to maximize his monthly total profit?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
![A store sells two types of toys, A and B. The store owner pays $8 and $14 for each
one unit of toy A and B respectively. One unit of toys A yields a profit of $2 while a
unit of toys B yields a profit of $3. The store owner estimates that no more than 2000
toys will be sold every month and he does not plan to invest more than $20,000 in
inventory of these toys. How many units of each type of toys should be stocked in
order to maximize his monthly total profit?
5.
A company produces two types of tables, T1 and T2. It takes 2 hours to produce the
parts of one unit of T1, 1 hour to assemble and 2 hours to polish. It takes 3 hours to
produce the parts of one unit of T2, 2.5 hours to assemble and 1.5 hours to polish.
Per month, 7000 hours are available for producing the parts, 4000 hours for
assembling the parts and 5500 hours for polishing the tables. The profit per unit of T1
is $90 and per unit of T2 is $110. How many of each type of tables should be produced
in order to maximize the total monthly profit?
6.
A farmer plans to mix two types of food to make a mix of low-cost feed for the animals
in his farm. A bag of food A cost $10 and contains 40 units of protein, 20 units of
minerals and 10 units of vitamins. A bag of food B costs $12 and contains 30 units of
proteins, 30 units of minerals and 30 units of vitamins. How many bags of food A and
B should be consumed by the animals each day in order to meet the minimum daily
requirements of 150 units of proteins, 90 units of minerals and 60 units of vitamins at
7.
a minimum cost?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01c14b09-4513-4113-ab86-de3069a90f01%2F2c355de9-6c5b-46b7-ac6d-d97d9725150a%2Foyiwpdi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A store sells two types of toys, A and B. The store owner pays $8 and $14 for each
one unit of toy A and B respectively. One unit of toys A yields a profit of $2 while a
unit of toys B yields a profit of $3. The store owner estimates that no more than 2000
toys will be sold every month and he does not plan to invest more than $20,000 in
inventory of these toys. How many units of each type of toys should be stocked in
order to maximize his monthly total profit?
5.
A company produces two types of tables, T1 and T2. It takes 2 hours to produce the
parts of one unit of T1, 1 hour to assemble and 2 hours to polish. It takes 3 hours to
produce the parts of one unit of T2, 2.5 hours to assemble and 1.5 hours to polish.
Per month, 7000 hours are available for producing the parts, 4000 hours for
assembling the parts and 5500 hours for polishing the tables. The profit per unit of T1
is $90 and per unit of T2 is $110. How many of each type of tables should be produced
in order to maximize the total monthly profit?
6.
A farmer plans to mix two types of food to make a mix of low-cost feed for the animals
in his farm. A bag of food A cost $10 and contains 40 units of protein, 20 units of
minerals and 10 units of vitamins. A bag of food B costs $12 and contains 30 units of
proteins, 30 units of minerals and 30 units of vitamins. How many bags of food A and
B should be consumed by the animals each day in order to meet the minimum daily
requirements of 150 units of proteins, 90 units of minerals and 60 units of vitamins at
7.
a minimum cost?
![For Question 1- Question 4 : Solve the given inequalities
(x – y > 4
x < 2
y > -5
1.
Sx – y < 1
2.
(у - х <1
(4х + Зу 2 12
y 2 x
2y < 3x + 6
(5у — 2х < 10
34х — бу < 12
y 2 0
3.
4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01c14b09-4513-4113-ab86-de3069a90f01%2F2c355de9-6c5b-46b7-ac6d-d97d9725150a%2F2j4j13l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For Question 1- Question 4 : Solve the given inequalities
(x – y > 4
x < 2
y > -5
1.
Sx – y < 1
2.
(у - х <1
(4х + Зу 2 12
y 2 x
2y < 3x + 6
(5у — 2х < 10
34х — бу < 12
y 2 0
3.
4.
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