Maximize profit

The manufacturer is deciding whether to carry out a check on his products or to ship the products without check and in case of a defective product to repair it at his expense within the warranty. At the time of the decision about the introduction of output control, experience with the quality of production does not exist, so the percentage of defective products cannot be estimated. The manufacturer's effort is to maximise the revenue from the sale of products after deduction of the costs for the check and repairs. For the choice of decision, the following data serve: c... price per one product, k... cost of the check of one product, e... average amount charged to the manufacturer for warranty repairs, f... average cost of repair of a product when a defect is detected by output control. Derive the conditions under which it will be more advantageous for the manufacturer to check the products (use different approaches to decision-making under uncertainty).

Final Answer:

x = ?

Step-by-step explanation:

$x=?$

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