Cully furniture buys 2 products for resale: big shelves (b) and medium shelves (m). each big shelf costs $500 and requires 100 cubic feet of storage space, and each medium shelf costs $350 and required 90 cubic feet of storage space. the company has $75,000 to invest in shelves this week, and the warehouse has 18,000 cubic feet available for storage. profit for each big shelf is $300 and for each medium shelf is $150.the storage constraint is: 100b + 90m < = 18,000100b + 90s < = 18,000500b + 350m < = 75,000z = 300b + 150sz = 300b + 150mz = 150b + 300mz = 500b + 350m500b + 350s < = 75,000

Reliability and validity reliability and validity are two important considerations that must be made with any type of data collection. reliability refers to the ability to consistently produce a given result. in the context of psychological research, this would mean that any instruments or tools used to collect data do so in consistent, reproducible ways. unfortunately, being consistent in measurement does not necessarily mean that you have measured something correctly. to illustrate this concept, consider a kitchen scale that would be used to measure the weight of cereal that you eat in the morning. if the scale is not properly calibrated, it may consistently under- or overestimate the amount of cereal that’s being measured. while the scale is highly reliable in producing consistent results (e.g., the same amount of cereal poured onto the scale produces the same reading each time), those results are incorrect. this is where validity comes into play. validity refers to the extent to which a given instrument or tool accurately measures what it’s supposed to measure. while any valid measure is by necessity reliable, the reverse is not necessarily true. researchers strive to use instruments that are both highly reliable and valid.