Answer:
56 regular 37 tropical Maximum profit $204.75
Step-by-step explanation:
Constraints are:
r ≥ 0
t ≥ 0
2r+ 3t ≤ 125
2r + 1t ≤ 150
I will multiply the second by -3 to cancel t variable and see what is the maximum amount for the regular
2r + 3t ≤ 225
-6r - 3t ≤ -450
ADD BOTH
-4r ≤ -225
r≤ 56.5
Since we need to pick whole bottles ,not a fraction of a bottle we need ro round down.It should be less than 65.5.So we need 56 bottles of regular
2*56 +3t ≤ 225
112+3t ≤ 225
3t ≤ 113
t≤ 37.6666
37 bottles of tropical
2*56 + 3*37 = 112+111 =223 223<225
2*56 +37 = 112 +37 =149 149<150
$2.5*56 = $140
$1.75*37 = $64.65
Total profit $204.75
The answer is : (x+7) x (5x+2)
1) the rule for #1 is is to subtract the small number from the big number so (15-4) (get rid of all the signs when doing this see how i took away the sign from 15) the answer is then 11 but you pit the sign of the bigger number since 15 is the bigger number and it has the negative sign you put the negative sign on 11 so the answer for 1 is -11
2) to solve -3*-5 you have to realize that they are both negative and the rule of multiplying negative integers is that a negative times a negative = a postive (weird but those are the rules) so -3*-5=15
Answer:
Step-by-step explanation:
Reduction to normal from using lambda-reduction:
The given lambda - calculus terms is, (λf. λx. f (f x)) (λy. Y * 3) 2
For the term, (λy. Y * 3) 2, we can substitute the value to the function.
Therefore, applying beta- reduction on "(λy. Y * 3) 2" will return 2*3= 6
So the term becomes,(λf. λx. f (f x)) 6
The first term, (λf. λx. f (f x)) takes a function and an argument, and substitute the argument in the function.
Here it is given that it is possible to substitute the resulting multiplication in the result.
Therefore by applying next level beta - reduction, the term becomes f(f(f(6)) (f x)) which is in normal form.
Answer:12 Protein bar and 3 magazines
Step-by-step explanation:
Given
Tom purchases Protein bars 3 times as much as magazine
Each bar cost 
Each magazine costs 
Sales tax is 6.5 %
suppose Tom buy x magazines so
Price of magazine is 
Price of bars is 
Total Price
After sales tax 
This must be less than 
so 
thus 
so he but 4 magazines and 12 protein bars
