A pharmaceutical company produces three kinds of cold formulas: A, B, and C. it takes 1.5 hours to produce 1000 bottles of the Formula A, 2 hours to produce 1000 bottles of formula B. and 3 hours to produce 1000 n=bottles of formula C. The profits for each 1000 of Formula A, formula B, and Formula C is $100, $150, and $210, respectively. Suppose that for a certain production run. There are enough ingredients on hand to make at most 7000 bottles of formula A, 14000 of formula B, and 3000 bottles of formula C. Furthermore, suppose the time for the production run is limited to a maximum of 50 hours. They want to maximize their profit, P. in dollars. Which of the following is the correct objective function? a. z= 100.11 + 150.x2 + 210x3
b. z =1000x1 + 1000x2 + 1000x3
c. z=700.01 + 14000x2 + 3000x3
d. z= 1.5x1+ 2x2 + 3x3

z = 100*x₁  + 150*x₂  +  210*x₃

Step-by-step explanation:

Lyric a looks like there is a typing error in the first term ( 100.11 ) .

the right is 100*x₁

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6