The following linear programming problem has been written to plan the production of two products. The company wants to maximize
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6 chewy toys and 6 cat collars are needed to have the same amount or price at both stores.
<h3>Equation</h3>An equation is an expression used to show the relationship between two or more angles and variables.
Let x represent the number of dogs and y represent the number of cats collars. Hence:
At Marco's market:
2x + 6y = 48 (1)
At Sonia's superstore:
4x + 4y = 48 (2)
Graphing both equations, the solution is at (6,6)
6 chewy toys and 6 cat collars are needed to have the same amount or price at both stores.
Find out more on Equation at: brainly.com/question/13763238
Answer: see proof below
<u>Step-by-step explanation:</u>
Given: A + B + C = π → A + B = π - C
→ B + C = π - A
→ C + A = π - B
→ C = π - (B + C)
Use Sum to Product Identity: cos A + cos B = 2 cos [(A + B)/2] · cos [(A - B)/2]
Use the Sum/Difference Identity: cos (A - B) = cos A · cos B + sin A · sin B
Use the Double Angle Identity: sin 2A = 2 sin A · cos A
Use the Cofunction Identity: cos (π/2 - A) = sin A
<u>Proof LHS → Middle:</u>
LHS = Middle
<u>Proof Middle → RHS:</u>
Middle = RHS
