read the information below and construct the objective function, and the associated constraint inequalities…

read the information below and construct the objective function, and the associated constraint inequalities. do not solve the maximum problem. national business machines manufactures two models of fax machines: a and b. each model a costs $160 to make, and each model b costs $210. the profits are $45 for each model a and $52 for each model b fax machine. if the total number of fax machines demanded per month does not exceed 1800 and the company has earmarked no more than $450,000 per month for manufacturing costs, construct the objective function for maximizing the profit, and construct the associated constraint inequalities by selecting the appropriate symbol or number from the dropdown list. note: the symbol <= in the dropdown list indicates \less than or equal to\, and the symbol >= in the dropdown list indicates \greater than or equal to\. p = 45 a+ 52 b select a + b <= 1800 select a + 210b <= 450000

read the information below and construct the objective function, and the associated constraint inequalities. do not solve the maximum problem. national business machines manufactures two models of fax machines: a and b. each model a costs $160 to make, and each model b costs $210. the profits are $45 for each model a and $52 for each model b fax machine. if the total number of fax machines demanded per month does not exceed 1800 and the company has earmarked no more than $450,000 per month for manufacturing costs, construct the objective function for maximizing the profit, and construct the associated constraint inequalities by selecting the appropriate symbol or number from the dropdown list. note: the symbol <= in the dropdown list indicates \less than or equal to\, and the symbol >= in the dropdown list indicates \greater than or equal to\. p = 45 a+ 52 b select a + b <= 1800 select a + 210b <= 450000

Answer

Explanation:

Step1: Define variables

Let ( A ) = number of model A, ( B ) = number of model B.

Step2: Objective function (profit)

Profit per A: $45, per B: $52. So ( P = 45A + 52B ).

Step3: Total machines constraint

Total machines ≤ 1800: ( 1A + 1B \leq 1800 ).

Step4: Manufacturing cost constraint

Cost per A: $160, per B: $210; total cost ≤ $450,000: ( 160A + 210B \leq 450000 ).

Answer:

Objective function: ( P = 45A + 52B ) Constraint 1: ( 1A + 1B \leq 1800 ) Constraint 2: ( 160A + 210B \leq 450000 )