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Q1)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 to maximize his monthly total profit?

Q1)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 to maximize his monthly total profit?

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 8P
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Q1)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 to maximize his monthly total profit? Q2)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 4 hours to produce the parts of one unit of T2, 2.5 hour 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 profit per unit of T2 is 110. How many of each type of tables should be produced to maximize the total monthly profit?
Transcribed Image Text:Q1)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 to maximize his monthly total profit? Q2)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 4 hours to produce the parts of one unit of T2, 2.5 hour 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 profit per unit of T2 is 110. How many of each type of tables should be produced to maximize the total monthly profit?
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