Question

Joey manages a store that selis speakers, Each Master Blaster takes 2 to create the plastic pieces, 2 to create the electronics, and 23 of labor to assemble the final product. Each xL2000 requires 1 to create the plastic pieces, 4 to create the electronics, and 15 of labor to assemble the final product: The factory has 200 to create the plastic pieces, 540 to create the electronics, and 2335 of labor to assembie the final product each week if each Master Blaster generates $13 in revenue, and each X12000 generates 511, how many of each of the speakers should Jocy have the store seil each week to make the most revenue? Master Blaster: ×2000 Best fevenue

Answer 1

The question pertains to finding the optimal number of two different types of speakers to produce in order to maximize revenue, given the constraints on resources for production. A linear programming model can be formulated with an objective function to maximize revenue and constraints for plastic pieces, electronics, and labor.

Step-by-step explanation:

The student's question involves maximizing revenue by determining the number of speakers to produce and sell within the constraints of available resources for production. To solve this, we set up a linear programming problem to find the combination of Master Blaster speakers and xL2000 speakers that maximizes revenue while staying within the resource limitations of plastic pieces, electronics, and labor hours.

Let x be the number of Master Blaster speakers, and let y be the number of xL2000 speakers. The objective function to maximize is the weekly revenue, which is R = $13x + $11y. The constraints are based on the available resources for production:

• 2x + 1y ≤ 200 (plastic pieces constraint)
• 2x + 4y ≤ 540 (electronics constraint)
• 3x + 1.5y ≤ 2335 (labor constraint)

Next, we would use graphical representation or simplex method to find the optimal solution that maximizes the revenue.