Acompany produces two products, a and b. the sales volume for a is at least 80% of the total sales of both a and b. however, the company cannot sell more than 110 units of a per day. both products use one raw material, of which the maximum daily availability is 300 lb. the usage rates of the raw material are 2 lb per unit of a, and 4 lb per unit of b the profit units for a and b are $40 and $90, respectively. determine the optimal product mix for the company

A=100 , b=25

Step-by-step explanation:

Let sales of A be x and sales of  B be y

Thus

Also maximum A available is

We have find the optimal solution for

z=40x+90y

Optimal solution points

(100,25) z

(110,20) z

(110,0) z

Thus for A=100 and B=25 Optimal solution is obtained

you need more information to answer this question

step-by-step explanation:

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.