Hi,
Can someone please mark my responses?
1. Discuss the balance between cost and quality in operations strategy [4 marks]
Cost and quality are both profoundly considered as factors which can contribute to the success of the business. Spending on cheaper costs of production process through choosing different suppliers with cheaper supplies or raw materials help the business to minimise its expenses. While producing high quality products can ensure the business in increasing in sales, brand loyalty and lead the business to success. Therefore, in the aim of sustain the business competitive advantage, ensuring the quality of the products is the main focus which means producing high quality products demand for higher costs in the production process. As a result, these two objectives need to be balanced in the strategy to sustain and achieve the roles of cost leadership and products differentiation of the business.
2. Explain potential conflicts between short-term and long-term financial objectives [4 marks]
Both long and short term objectives are carried out in the aim of achieving the business goals and objectives, leading the business to succeeding against its competitors. However, the desire of expanding the business in the long run requires the business to saves on overall costs of labours, equipment, production process and using the profits to invest in the expansion of the business. As a result, this conflicts with the short term objectives of the business to increase its profitability which means the profits are going to be saved and spent within the next few years of the business life cycle.
Correct me please if I am wrong somewhere 
Warning: I'm not a marker so I'm not an expert on what they'd look for in short answer questions. But I'll tell you what I think which might help. Others may also have some input to help you improve.
For 1:Few grammar mistakes/typos like "...can ensure the business in increasing in sales" - probably just happened because you were typing them out. Not sure how much markers really care about this but it can seem a bit careless if done repeatedly. I think you've got the gist of the response right but it could be worded a bit better. What (I think) they're looking for in that question is basically you can have:
Cost leadership (lower costs, lower quality, lower profit margin, lower price) OR product differentiation (higher costs, higher quality, higher profit margin, higher price).
You've alluded to both of these and the balance that needs to be achieved (depending on the business's strategy) which is great. But the last sentence: "As a result, these two
objectives need to be balanced in the strategy to sustain and achieve the
roles of cost leadership and products differentiation of the business." Again I'd just reword this: "Thus, businesses must achieve a balance between cost and quality in operations
strategy [refer to the terms of the question] in order to sustain their competitive advantage in the marketplace." You could also mention outsourcing in discussion of how businesses lower costs through new suppliers, and customer perceptions of quality which I believe is a syllabus dot point (you've also alluded to that with mention of brand image but it could be clearer imo).
For 2:"Both long and short term objectives are carried out in the aim of achieving the business goals and objectives" - this comes across as a bit repetitive. My improvement: "Businesses use short terms and long term objectives in order to guide activities and strategies"
Again I think you've got the general idea but I'd reword it (my opinion). I'd also include a direct example, mentioning two of the five financial goals (growth, liquidity, profitability, solvency, efficiency). You've mentioned profitability which is good but also mention growth rather than "expansion" so they know you know what you're talking about. Here's my example:
"At times, long term financial objectives (term from the question) can conflict with short term goals. For example, in order to
grow the business in the long run, significant capital is required to invest in current and non-current assets such as raw materials and facilities. However, in the short term, this may hurt business
liquidity or
profitability. This is because retained profits and available cash flows must be reinvested for growth, forgoing finance that the business owner(s) would otherwise retain as profit or use for covering day-to-day expenses to shore up liquidity."
The difference (so that you know how to improve directly):
- Mention the question terms (financial objectives rather than business objectives)
- Mention specific financial objectives
- More concise/easier to understand sentences (I might be being harsh on yours - have a re-read of them and see if you can improve them)
Hope that helps.