1. A small factory makes 2 types of inflatable boats, a 2 person and 4 person. Each 2 person boat requires 0.9 hours in the cutting department and 0.8 hours in the
assembly department. Each four person boat requires 1.8 hours in the cutting
department and 0.5 hours in the assembly department. The company makes profit of
$25 on each 2 person boat and $40 on each 4 person boat. The maximum hours
available each month in the cutting department is 864 and the maximum hours
available each month in the assembly department is 672. Write an LP formulation that
will maximize the profit.
Variables:
Objective (specify min or max):
Constraints:

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step-by-step explanation:

you should at least use a calculater

step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: