The choice depends on the supermarket's competitive strategy and target market.
The case for prioritising COST: for a discount supermarket competing on low prices, cost is the natural priority. Low unit cost — through efficient logistics, own-label products, lean stores and high volumes — enables the low prices that attract price-sensitive shoppers, driving footfall and market share. Given thin retail margins, cost control is essential to profitability, and dependability of low prices builds customer loyalty.
The case for prioritising QUALITY: for a premium supermarket, quality (fresher produce, wider range, better service and store experience) differentiates it and lets it charge higher prices and earn higher margins. Prioritising cost too aggressively risks poorer product quality, stock-outs and weaker service that would drive quality-seeking customers to rivals; in a market where trust in food quality matters, cutting corners can seriously damage the brand.
Weighing the two: these objectives involve a trade-off, and prioritising one usually weakens the other. However, the two are not wholly incompatible — efficient operations can deliver acceptable quality at low cost, and technology (automated stock systems, data-driven ordering) can ease the trade-off. The decisive factor is positioning.
Judgement: there is no single right answer for 'a supermarket' in general — the correct priority is dictated by the chain's strategy. For a discount chain such as a hard-discounter, I would prioritise cost, because its customers choose it primarily for low prices and its whole model depends on cost leadership; quality need only reach an acceptable minimum. For a premium chain, I would prioritise quality, because differentiation, not price, sustains its margins. In both cases the neglected objective must not fall below the level customers will tolerate. Overall, the decision should follow the firm's target market: match the operations priority to how the supermarket competes.