I) -7s (S-4t-3u) ii) -4c (2c-5d)
2 answers:
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Answer:
The number of stores in California 42
The number of stores in Nevada 18
Step-by-step explanation:
Given as :
The total sandwich shop in California and Nevada = 60
The percentage of shop in California = 70%
So, The percentage of shop in Nevada = 100% - 70% = 30%
Let The number of stores in California = c
And The number of stores in Nevada = n
Now, According to question
The number of stores in California = 70% of the total number of shops
I.e c = × total number of shops
Or, c = × 60
∴ c =
or, c =
or, c = 42
So, The number of stores in California = c =42
Again
The number of stores in Nevada = 30% of the total number of shops
I.e n = × total number of shops
Or, n = × 60
∴ n =
or, n =
or, n = 18
So, The number of stores in Nevada = n = 18
Hence The number of stores in California 42
And The number of stores in Nevada 18 Answer
Answer:
(x,y)=(0,7.333)
Step-by-step explanation:
We are required to:
Maximize p = x + 2y subject to
- x + 3y ≤ 22
- 2x + y ≤ 14
- x ≥ 0, y ≥ 0.
The graph of the lines are plotted and attached below.
From the graph, the vertices of the feasible region are:
- (0,7.333)
- (4,6)
- (0,0)
- (7,0)
At (0,7.333), p=0+2(7.333)=14.666
At (4,6), p=4+2(6)=4+12=16
At (0,0), p=0
At (7,0), p=7+2(0)=7
Since 14.666 is the highest, the maximum point of the feasible region is (0,7.333).
At x=0 and y=7.333, the function p is maximized.
