This business/management problem is solved step by step below, with detailed explanations to help you understand the method and arrive at the correct answer.

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\begin{align*} 8x + 4y &\le 3440 \ 6x + 8y &\le 2880 \ x &\ge 0 \ y &\ge 0 \end{align*}
Assuming the question asks to formulate the constraints for the given linear programming problem:
Step 1: Define the variables. Let be the number of units of product 'Mercy' produced. Let be the number of units of product 'Goodness' produced.
Step 2: Formulate the material constraint. Each unit of 'Mercy' requires 8 units of material. Each unit of 'Goodness' requires 4 units of material. The total available material is 3440 units.
Step 3: Formulate the labour constraint. Each unit of 'Mercy' requires 6 hours of labour. Each unit of 'Goodness' requires 8 hours of labour. The total available labour is 2880 hours.
Step 4: Formulate the non-negativity constraints. The number of units produced cannot be negative.
Note: The table provides machine hours per unit (4 hours for Mercy, 6 hours for Goodness), but the total available machine hours are not listed under the "constrains" section. Therefore, a complete constraint for machine hours with a specific limit cannot be formulated from the given information.
The formulated constraints are: \boxed{\begin{align*} 8x + 4y &\le 3440 \\ 6x + 8y &\le 2880 \\ x &\ge 0 \\ y &\ge 0 \end{align*}} Send me the next one 📸
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Assuming the question asks to formulate the constraints for the given linear programming problem: Step 1: Define the variables.
This business/management problem is solved step by step below, with detailed explanations to help you understand the method and arrive at the correct answer.