Answer:
Step-by-step explanation:
Given that EM company produces two types of laptop computer bags.
Let regular version produced be R and deluxe version be D
Total capital required
= 
Total labor hours required
=
Sales revenue = 
Solving the two constraints we have
10D 
140
D can be atmost 14 and hence R can be 49
Otherwise if D is made 0, R = 65 maximum
If R is made 0, D maximum is 46
Thus corner points are (65,0) (0.,46) or (49,14)
Sales revenue for (65,0) = 2990
(0,46) is 2530
(49,14) is 3024
Maximum when R =14 and D is 49
sorry it won't let me show step by step but your answer is 150x-17
A major arc is an arc that is larger than a semicircle. The only arc that is larger than a semicircle in the answer choices is D. NRC.
I hope this helps :)
Answer:
The values of x and y that make the quadrilateral is a parallelogram are x = 12 and y = 21
Step-by-step explanation:
- In the parallelogram, every two opposite sides are equal in lengths
In the given figure
If DEFG is a parallelogram, then DE = GF and DG = EF
∵ DE = GF
∵ DE = 6x - 12 and GF = 2x + 36
→ Equate them
∴ 6x - 12 = 2x + 36
→ Subtract 2x from both sides
∵ 6x - 2x - 12 = 2x - 2x + 36
∴ 4x - 12 = 36
→ Add 12 to both sides
∵ 4x - 12 + 12 = 36 + 12
∴ 4x = 48
→ Divide both sides by 4
∴ x = 12
∵ DG = EF
∵ DG = 6y - 42 and EF = 4y
→ Equate them
∴ 6y - 42 = 4y
→ Add 42 to both sides
∵ 6y - 42 + 42 = 4y + 42
∴ 6y = 4y + 42
→ Subtract 4y from both sides
∵ 6y - 4y = 4y - 4y + 42
∴ 2y = 42
→ Divide both sides by 2
∴ y = 21
∴ The values of x and y that make the quadrilateral is a parallelogram are
x = 12 and y = 21
