Suppose X1 and X2 are defined as: X1 =number of tables to produce, X2 =number of chairs to produce. Answer the following questions: (a) Write an expression representing total number of tables and chairs to be produced in terms of X1 and X2. (b) Suppose a table generates $28 of profit, and a chair generates $24 of profit. What is the expression representing the total profit of X1 tables and X2 chairs? (c) Suppose a table takes 3.3 hours of carpentry and 2.7 hours of painting. What is the expression representing total number of painting hours to be used for producing X1 tables? (d) Suppose a table takes 3 hours of carpentry, a chair takes 2 hours of carpentry, and there are 400 hours of carpentry available. Use a constraint to represent “The total carpentry hours to be used should be no more than the available carpentry hours.” (e) Use a constraint to represent “At least 34 chairs must be produced”; (f) Use a constraint to represent “No more than 380 chairs will be produced.” (g) Use a constraint to represent “for each table produced, there must be exactly 6 chairs produced”.
Suppose X1 and X2 are defined as:
X1 =number of tables to produce,
X2 =number of chairs to produce.
Answer the following questions:
(a) Write an expression representing total number of tables and chairs to be produced in terms of X1 and X2.
(b) Suppose a table generates $28 of profit, and a chair generates $24 of profit. What is the expression representing the total profit of X1 tables and X2 chairs?
(c) Suppose a table takes 3.3 hours of carpentry and 2.7 hours of painting. What is the expression representing total number of painting hours to be used for producing X1 tables?
(d) Suppose a table takes 3 hours of carpentry, a chair takes 2 hours of carpentry, and there are 400 hours of carpentry available. Use a constraint to represent “The total carpentry hours to be used should be no more than the available carpentry hours.”
(e) Use a constraint to represent “At least 34 chairs must be produced”;
(f) Use a constraint to represent “No more than 380 chairs will be produced.”
(g) Use a constraint to represent “for each table produced, there must be exactly 6 chairs produced”.
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