Sample Algebra Question

Please review the following sample question. If you need help with this question, or other similar questions, contact me at 845-429-5025 or lparker@24houranswers.com.



A small subcontractor for a large shoe company does the cutting and gluing for walking shoes and jogging shoes. Each pair of walking shoes requires 2 minutes cutting time and 4 minutes gluing time. Each pair of jogging shoes requires 3 minutes cutting time and 2 minutes gluing time. The subcontractor has two employees who do the cutting and three employees who do the gluing and guarantees that each will work 30 hours per week. The cost of materials is $8 for each pair of walking shoes and $10 for each pair of jogging shoes, with an overhead cost of $200. How many pairs of each type of shoe should be made during the week to minimize total material costs? Note: Feel free to use calculators (online, basic/scientific, or even built-in calculators on mobile phones) while answering the problem.

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